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129106572 = 223744481
BaseRepresentation
bin1111011001000…
…00001010001100
322222221021220220
413230200022030
5231022402242
620451111340
73125250000
oct754401214
9288837826
10129106572
1166971751
12372a2550
1320994c2a
141320a700
15b503bec
hex7b2028c

129106572 has 60 divisors (see below), whose sum is σ = 351514296. Its totient is φ = 36879360.

The previous prime is 129106547. The next prime is 129106609. The reversal of 129106572 is 275601921.

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 19 ways as a sum of consecutive naturals, for example, 26572 + ... + 31052.

Almost surely, 2129106572 is an apocalyptic number.

129106572 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 129106572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175757148).

129106572 is an abundant number, since it is smaller than the sum of its proper divisors (222407724).

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

129106572 is an equidigital number, since it uses as much as digits as its factorization.

129106572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 129106572 is about 11362.5072937270. The cubic root of 129106572 is about 505.4165396428.

The spelling of 129106572 in words is "one hundred twenty-nine million, one hundred six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2401 4116 4481 4802 7203 8962 9604 13443 14406 17924 26886 28812 31367 53772 62734 94101 125468 188202 219569 376404 439138 658707 878276 1317414 1536983 2634828 3073966 4610949 6147932 9221898 10758881 18443796 21517762 32276643 43035524 64553286 129106572