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103276704 = 25319411381
BaseRepresentation
bin1100010011111…
…10000010100000
321012100000000010
412021332002200
5202414323304
614125324520
72362560156
oct611760240
9235300003
10103276704
115332a353
122a706740
131852009b
14da053d6
159100789
hex627e0a0

103276704 has 96 divisors (see below), whose sum is σ = 292541760. Its totient is φ = 31795200.

The previous prime is 103276699. The next prime is 103276729. The reversal of 103276704 is 407672301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 74094 + ... + 75474.

It is an arithmetic number, because the mean of its divisors is an integer number (3047310).

Almost surely, 2103276704 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 103276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146270880).

103276704 is an abundant number, since it is smaller than the sum of its proper divisors (189265056).

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

103276704 is a wasteful number, since it uses less digits than its factorization.

103276704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 103276704 is about 10162.5146494359. The cubic root of 103276704 is about 469.1742010294.

The spelling of 103276704 in words is "one hundred three million, two hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 456 492 608 656 779 912 984 1312 1381 1558 1824 1968 2337 2762 3116 3936 4143 4674 5524 6232 8286 9348 11048 12464 16572 18696 22096 24928 26239 33144 37392 44192 52478 56621 66288 74784 78717 104956 113242 132576 157434 169863 209912 226484 314868 339726 419824 452968 629736 679452 839648 905936 1075799 1259472 1358904 1811872 2151598 2518944 2717808 3227397 4303196 5435616 6454794 8606392 12909588 17212784 25819176 34425568 51638352 103276704