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129903516 = 223231432707
BaseRepresentation
bin1111011111000…
…10101110011100
3100001102210010100
413233202232130
5231223403031
620520141100
73135106311
oct757425634
9301383110
10129903516
1167366486
1237607790
1320bb38b2
1413376d08
15b60ede6
hex7be2b9c

129903516 has 72 divisors (see below), whose sum is σ = 346970624. Its totient is φ = 40914720.

The previous prime is 129903503. The next prime is 129903523. The reversal of 129903516 is 615309921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46635 + ... + 49341.

Almost surely, 2129903516 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 129903516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173485312).

129903516 is an abundant number, since it is smaller than the sum of its proper divisors (217067108).

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

129903516 is a wasteful number, since it uses less digits than its factorization.

129903516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 129903516 is about 11397.5223623382. The cubic root of 129903516 is about 506.4543456721.

The spelling of 129903516 in words is "one hundred twenty-nine million, nine hundred three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 774 1116 1333 1548 2666 2707 3999 5332 5414 7998 8121 10828 11997 15996 16242 23994 24363 32484 47988 48726 83917 97452 116401 167834 232802 251751 335668 349203 465604 503502 698406 755253 1007004 1047609 1396812 1510506 2095218 3021012 3608431 4190436 7216862 10825293 14433724 21650586 32475879 43301172 64951758 129903516