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11602668 = 22371129433
BaseRepresentation
bin101100010000…
…101011101100
3210211110212110
4230100223230
510432241133
61052404020
7200423010
oct54205354
923743773
1011602668
116605290
123a76610
1325331ac
141780540
151042c63
hexb10aec

11602668 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2903040.

The previous prime is 11602637. The next prime is 11602681. The reversal of 11602668 is 86620611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26580 + ... + 27012.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 211602668 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 11602668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

11602668 is an abundant number, since it is smaller than the sum of its proper divisors (23395092).

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

11602668 is a wasteful number, since it uses less digits than its factorization.

11602668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 11602668 is about 3406.2689265529. The cubic root of 11602668 is about 226.3875929139.

It can be divided in two parts, 1160 and 2668, that added together give a triangular number (3828 = T87).

The spelling of 11602668 in words is "eleven million, six hundred two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 433 462 609 638 812 866 924 957 1218 1276 1299 1732 1914 2233 2436 2598 3031 3828 4466 4763 5196 6062 6699 8932 9093 9526 12124 12557 13398 14289 18186 19052 25114 26796 28578 33341 36372 37671 50228 57156 66682 75342 87899 100023 133364 138127 150684 175798 200046 263697 276254 351596 400092 414381 527394 552508 828762 966889 1054788 1657524 1933778 2900667 3867556 5801334 11602668