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1300490880 = 27351352103
BaseRepresentation
bin100110110000011…
…1110101010000000
310100122002210002220
41031200332222000
510130411202010
6333014011040
744140663413
oct11540765200
93318083086
101300490880
11608103057
12303646a80
1317957a540
14c4a0bb7a
157928a970
hex4d83ea80

1300490880 has 128 divisors (see below), whose sum is σ = 4464270720. Its totient is φ = 320114688.

The previous prime is 1300490861. The next prime is 1300490887. The reversal of 1300490880 is 880940031.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1300490887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092 + ... + 51011.

It is an arithmetic number, because the mean of its divisors is an integer number (34877115).

Almost surely, 21300490880 is an apocalyptic number.

1300490880 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 1300490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232135360).

1300490880 is an abundant number, since it is smaller than the sum of its proper divisors (3163779840).

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

1300490880 is a wasteful number, since it uses less digits than its factorization.

1300490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52138 (or 52126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1300490880 is about 36062.3193929620. The cubic root of 1300490880 is about 1091.5302357586.

The spelling of 1300490880 in words is "one billion, three hundred million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 52103 104206 156309 208412 260515 312618 416824 521030 625236 677339 781545 833648 1042060 1250472 1354678 1563090 1667296 2032017 2084120 2500944 2709356 3126180 3334592 3386695 4064034 4168240 5001888 5418712 6252360 6669184 6773390 8128068 8336480 10003776 10160085 10837424 12504720 13546780 16256136 16672960 20007552 20320170 21674848 25009440 27093560 32512272 33345920 40640340 43349696 50018880 54187120 65024544 81280680 86699392 100037760 108374240 130049088 162561360 216748480 260098176 325122720 433496960 650245440 1300490880