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20065920 = 273571493
BaseRepresentation
bin100110010001…
…0111010000000
31101202110021020
41030202322000
520114102140
61554025440
7332362140
oct114427200
941673236
1020065920
1110365906
126878280
134207434
142944920
151b656d0
hex1322e80

20065920 has 128 divisors (see below), whose sum is σ = 73146240. Its totient is φ = 4583424.

The previous prime is 20065909. The next prime is 20065931. The reversal of 20065920 is 2956002.

It is an interprime number because it is at equal distance from previous prime (20065909) and next prime (20065931).

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

It is a super-2 number, since 2×200659202 = 805282290892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12694 + ... + 14186.

It is an arithmetic number, because the mean of its divisors is an integer number (571455).

Almost surely, 220065920 is an apocalyptic number.

20065920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 4479×4480.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36573120).

20065920 is an abundant number, since it is smaller than the sum of its proper divisors (53080320).

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

20065920 is a wasteful number, since it uses less digits than its factorization.

20065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 20065920 is about 4479.4999720951. The cubic root of 20065920 is about 271.7396586248.

The spelling of 20065920 in words is "twenty million, sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1493 1680 1920 2240 2688 2986 3360 4479 4480 5972 6720 7465 8958 10451 11944 13440 14930 17916 20902 22395 23888 29860 31353 35832 41804 44790 47776 52255 59720 62706 71664 83608 89580 95552 104510 119440 125412 143328 156765 167216 179160 191104 209020 238880 250824 286656 313530 334432 358320 418040 477760 501648 573312 627060 668864 716640 836080 955520 1003296 1254120 1337728 1433280 1672160 2006592 2508240 2866560 3344320 4013184 5016480 6688640 10032960 20065920