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10868676 = 22371337269
BaseRepresentation
bin101001011101…
…011111000100
3202110012000120
4221131133010
510240244201
61024541540
7161245050
oct51353704
922405016
1010868676
116153885
1237818b0
132337090
14162cc60
15e4a536
hexa5d7c4

10868676 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 2778624.

The previous prime is 10868659. The next prime is 10868681. The reversal of 10868676 is 67686801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40270 + ... + 40538.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 210868676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10868676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

10868676 is an abundant number, since it is smaller than the sum of its proper divisors (21306684).

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

10868676 is a wasteful number, since it uses less digits than its factorization.

10868676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 10868676 is about 3296.7675077263. The cubic root of 10868676 is about 221.5094272477.

The spelling of 10868676 in words is "ten million, eight hundred sixty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 269 273 364 444 481 518 538 546 777 807 962 1036 1076 1092 1443 1554 1614 1883 1924 2886 3108 3228 3367 3497 3766 5649 5772 6734 6994 7532 9953 10101 10491 11298 13468 13988 19906 20202 20982 22596 24479 29859 39812 40404 41964 48958 59718 69671 73437 97916 119436 129389 139342 146874 209013 258778 278684 293748 388167 418026 517556 776334 836052 905723 1552668 1811446 2717169 3622892 5434338 10868676