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10040976 = 2433112113
BaseRepresentation
bin100110010011…
…011010010000
3200220010122000
4212103122100
510032302401
6555114000
7151226661
oct46233220
920803560
1010040976
115738a30
123442900
13210740a
141495368
15d35186
hex993690

10040976 has 80 divisors (see below), whose sum is σ = 31456320. Its totient is φ = 3041280.

The previous prime is 10040959. The next prime is 10040981. The reversal of 10040976 is 67904001.

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

It is a congruent number.

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, 3696 + ... + 5808.

It is an arithmetic number, because the mean of its divisors is an integer number (393204).

Almost surely, 210040976 is an apocalyptic number.

10040976 is a gapful number since it is divisible by the number (16) 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 10040976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728160).

10040976 is an abundant number, since it is smaller than the sum of its proper divisors (21415344).

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

10040976 is a wasteful number, since it uses less digits than its factorization.

10040976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10040976 is about 3168.7499112426. The cubic root of 10040976 is about 215.7373350390.

Adding to 10040976 its reverse (67904001), we get a palindrome (77944977).

The spelling of 10040976 in words is "ten million, forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2113 2376 4226 4752 6339 8452 12678 16904 19017 23243 25356 33808 38034 46486 50712 57051 69729 76068 92972 101424 114102 139458 152136 185944 209187 228204 278916 304272 371888 418374 456408 557832 627561 836748 912816 1115664 1255122 1673496 2510244 3346992 5020488 10040976