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102629379 = 3375915671
BaseRepresentation
bin1100001111000…
…00000000000011
321011010010001010
412013200000003
5202233120004
614103412003
72354223006
oct607400003
9234103033
10102629379
1152a27a76
122a454003
1318354558
14d8b753d
159023a89
hex61e0003

102629379 has 16 divisors (see below), whose sum is σ = 142928640. Its totient is φ = 65437920.

The previous prime is 102629377. The next prime is 102629413. The reversal of 102629379 is 973926201.

It is not a de Polignac number, because 102629379 - 21 = 102629377 is a prime.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (102629377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287 + ... + 14384.

It is an arithmetic number, because the mean of its divisors is an integer number (8933040).

Almost surely, 2102629379 is an apocalyptic number.

102629379 is a deficient number, since it is larger than the sum of its proper divisors (40299261).

102629379 is a wasteful number, since it uses less digits than its factorization.

102629379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 102629379 is about 10130.6159240196. The cubic root of 102629379 is about 468.1919048250.

The spelling of 102629379 in words is "one hundred two million, six hundred twenty-nine thousand, three hundred seventy-nine".

Divisors: 1 3 37 59 111 177 2183 6549 15671 47013 579827 924589 1739481 2773767 34209793 102629379