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10540868760 = 2332541714151
BaseRepresentation
bin10011101000100100…
…01110010010011000
31000012121111121120200
421310102032102120
5133041430300020
64501543222200
7522132622542
oct116422162230
930177447520
1010540868760
11451a055794
122062147960
13cbca81666
1471dd16692
1541a5ea590
hex27448e498

10540868760 has 96 divisors (see below), whose sum is σ = 35093429280. Its totient is φ = 2742336000.

The previous prime is 10540868749. The next prime is 10540868791. The reversal of 10540868760 is 6786804501.

It is a happy number.

10540868760 is a `hidden beast` number, since 105 + 408 + 6 + 87 + 60 = 666.

It is a super-2 number, since 2×105408687602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342316 + ... + 371835.

It is an arithmetic number, because the mean of its divisors is an integer number (365556555).

Almost surely, 210540868760 is an apocalyptic number.

10540868760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540868760 is an abundant number, since it is smaller than the sum of its proper divisors (24552560520).

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

10540868760 is a wasteful number, since it uses less digits than its factorization.

10540868760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714209 (or 714202 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10540868760 in words is "ten billion, five hundred forty million, eight hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 714151 1428302 2142453 2856604 3570755 4284906 5713208 6427359 7141510 8569812 10712265 12854718 14283020 17139624 21424530 25709436 28566040 29280191 32136795 42849060 51418872 58560382 64273590 85698120 87840573 117120764 128547180 146400955 175681146 234241528 257094360 263521719 292801910 351362292 439202865 527043438 585603820 702724584 878405730 1054086876 1171207640 1317608595 1756811460 2108173752 2635217190 3513622920 5270434380 10540868760