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103266912 = 2537229757
BaseRepresentation
bin1100010011110…
…11101001100000
321012022111120110
412021323221200
5202414020122
614125211320
72362516500
oct611735140
9235274513
10103266912
1153322a61
122a700b40
13185187a8
14da01a00
1590ec90c
hex627ba60

103266912 has 144 divisors (see below), whose sum is σ = 326637360. Its totient is φ = 28449792.

The previous prime is 103266869. The next prime is 103266913. The reversal of 103266912 is 219662301.

It is a super-2 number, since 2×1032669122 = 21328110228031488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103266912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103266913) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136038 + ... + 136794.

It is an arithmetic number, because the mean of its divisors is an integer number (2268315).

Almost surely, 2103266912 is an apocalyptic number.

103266912 is a gapful number since it is divisible by the number (12) 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 103266912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163318680).

103266912 is an abundant number, since it is smaller than the sum of its proper divisors (223370448).

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

103266912 is a wasteful number, since it uses less digits than its factorization.

103266912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 103266912 is about 10162.0328674926. The cubic root of 103266912 is about 469.1593725838.

The spelling of 103266912 in words is "one hundred three million, two hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 757 784 812 928 1176 1218 1392 1421 1514 1568 1624 2271 2352 2436 2784 2842 3028 3248 4263 4542 4704 4872 5299 5684 6056 6496 8526 9084 9744 10598 11368 12112 15897 17052 18168 19488 21196 21953 22736 24224 31794 34104 36336 37093 42392 43906 45472 63588 65859 68208 72672 74186 84784 87812 111279 127176 131718 136416 148372 153671 169568 175624 222558 254352 263436 296744 307342 351248 445116 461013 508704 526872 593488 614684 702496 890232 922026 1053744 1075697 1186976 1229368 1780464 1844052 2107488 2151394 2458736 3227091 3560928 3688104 4302788 4917472 6454182 7376208 8605576 12908364 14752416 17211152 25816728 34422304 51633456 103266912