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10400113360 = 2457131428587
BaseRepresentation
bin10011010111110010…
…10010001011010000
3222211210122111110201
421223321102023100
5132244412111420
64435554304544
7515503335130
oct115371221320
928753574421
1010400113360
11445765810a
122022b88154
13c9986b540
14709356ac0
1540d09510a
hex26be522d0

10400113360 has 80 divisors (see below), whose sum is σ = 29760345216. Its totient is φ = 3291462144.

The previous prime is 10400113351. The next prime is 10400113363. The reversal of 10400113360 is 6331100401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400113363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707014 + ... + 721573.

Almost surely, 210400113360 is an apocalyptic number.

10400113360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400113360 is an abundant number, since it is smaller than the sum of its proper divisors (19360231856).

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

10400113360 is a wasteful number, since it uses less digits than its factorization.

10400113360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428620 (or 1428614 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10400113360 its reverse (6331100401), we get a palindrome (16731213761).

The spelling of 10400113360 in words is "ten billion, four hundred million, one hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1428587 2857174 5714348 7142935 10000109 11428696 14285870 18571631 20000218 22857392 28571740 37143262 40000436 50000545 57143480 74286524 80000872 92858155 100001090 114286960 130001417 148573048 160001744 185716310 200002180 260002834 297146096 371432620 400004360 520005668 650007085 742865240 800008720 1040011336 1300014170 1485730480 2080022672 2600028340 5200056680 10400113360