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129941712 = 2433614931
BaseRepresentation
bin1111011111011…
…00000011010000
3100001111201112000
413233230003100
5231231113322
620521034000
73135325545
oct757540320
9301451460
10129941712
116739214a
1237625900
1320bc80b4
1413386bcc
15b61b3ac
hex7bec0d0

129941712 has 80 divisors (see below), whose sum is σ = 379172160. Its totient is φ = 42595200.

The previous prime is 129941711. The next prime is 129941719. The reversal of 129941712 is 217149921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129941711) 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, 23887 + ... + 28817.

It is an arithmetic number, because the mean of its divisors is an integer number (4739652).

Almost surely, 2129941712 is an apocalyptic number.

129941712 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 129941712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189586080).

129941712 is an abundant number, since it is smaller than the sum of its proper divisors (249230448).

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

129941712 is a wasteful number, since it uses less digits than its factorization.

129941712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 4997 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 129941712 is about 11399.1978665167. The cubic root of 129941712 is about 506.5039790079.

It can be divided in two parts, 12994 and 1712, that added together give a triangular number (14706 = T171).

The spelling of 129941712 in words is "one hundred twenty-nine million, nine hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 4931 6588 8784 9862 13176 14793 19724 26352 29586 39448 44379 59172 78896 88758 118344 133137 177516 236688 266274 300791 355032 532548 601582 710064 902373 1065096 1203164 1804746 2130192 2406328 2707119 3609492 4812656 5414238 7218984 8121357 10828476 14437968 16242714 21656952 32485428 43313904 64970856 129941712