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129442590 = 23351728201
BaseRepresentation
bin1111011011100…
…10001100011110
3100000120100212000
413231302030132
5231114130330
620502223130
73131146434
oct755621436
9300510760
10129442590
1167081152
1237424aa6
1320a81b64
1413296d54
15b56d560
hex7b7231e

129442590 has 64 divisors (see below), whose sum is σ = 365497920. Its totient is φ = 32486400.

The previous prime is 129442583. The next prime is 129442609. The reversal of 129442590 is 95244921.

129442590 is a `hidden beast` number, since 1 + 29 + 4 + 42 + 590 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9511 + ... + 18690.

It is an arithmetic number, because the mean of its divisors is an integer number (5710905).

Almost surely, 2129442590 is an apocalyptic number.

129442590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129442590 is an abundant number, since it is smaller than the sum of its proper divisors (236055330).

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

129442590 is a wasteful number, since it uses less digits than its factorization.

129442590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28234 (or 28228 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 129442590 is about 11377.2839465314. The cubic root of 129442590 is about 505.8546323239.

The spelling of 129442590 in words is "one hundred twenty-nine million, four hundred forty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 28201 56402 84603 141005 169206 253809 282010 423015 479417 507618 761427 846030 958834 1269045 1438251 1522854 2397085 2538090 2876502 3807135 4314753 4794170 7191255 7614270 8629506 12944259 14382510 21573765 25888518 43147530 64721295 129442590