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1420485120 = 2933520551
BaseRepresentation
bin101010010101010…
…1110001000000000
310122222220010021000
41110222232020000
510402121010440
6352541532000
750125632015
oct12452561000
93588803230
101420485120
1166991054a
12337874000
131983a1952
14d692570c
1584a8e730
hex54aae200

1420485120 has 160 divisors (see below), whose sum is σ = 5045927040. Its totient is φ = 378777600.

The previous prime is 1420485119. The next prime is 1420485137. The reversal of 1420485120 is 215840241.

1420485120 is a `hidden beast` number, since 142 + 0 + 4 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×14204851202 = 4035555952282828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58845 + ... + 79395.

It is an arithmetic number, because the mean of its divisors is an integer number (31537044).

Almost surely, 21420485120 is an apocalyptic number.

1420485120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522963520).

1420485120 is an abundant number, since it is smaller than the sum of its proper divisors (3625441920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1420485120 is an equidigital number, since it uses as much as digits as its factorization.

1420485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20583 (or 20561 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1420485120 is about 37689.3236872194. The cubic root of 1420485120 is about 1124.1188477987.

The spelling of 1420485120 in words is "one billion, four hundred twenty million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 20551 23040 34560 41102 61653 69120 82204 102755 123306 164408 184959 205510 246612 308265 328816 369918 411020 493224 554877 616530 657632 739836 822040 924795 986448 1109754 1233060 1315264 1479672 1644080 1849590 1972896 2219508 2466120 2630528 2774385 2959344 3288160 3699180 3945792 4439016 4932240 5261056 5548770 5918688 6576320 7398360 7891584 8878032 9864480 10522112 11097540 11837376 13152640 14796720 15783168 17756064 19728960 22195080 23674752 26305280 29593440 31566336 35512128 39457920 44390160 47349504 52610560 59186880 71024256 78915840 88780320 94699008 118373760 142048512 157831680 177560640 236747520 284097024 355121280 473495040 710242560 1420485120