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130736292 = 223291971907
BaseRepresentation
bin1111100101011…
…10000010100100
3100010000002110220
413302232002210
5231432030132
620550044340
73145145241
oct762560244
9303002426
10130736292
1167885125
12379496b0
132111596b
14135125c8
15b726a2c
hex7cae0a4

130736292 has 48 divisors (see below), whose sum is σ = 317338560. Its totient is φ = 41840512.

The previous prime is 130736261. The next prime is 130736293. The reversal of 130736292 is 292637031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130736293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67603 + ... + 69509.

It is an arithmetic number, because the mean of its divisors is an integer number (6611220).

Almost surely, 2130736292 is an apocalyptic number.

130736292 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 130736292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158669280).

130736292 is an abundant number, since it is smaller than the sum of its proper divisors (186602268).

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

130736292 is a wasteful number, since it uses less digits than its factorization.

130736292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 130736292 is about 11433.9972013290. The cubic root of 130736292 is about 507.5342880892.

The spelling of 130736292 in words is "one hundred thirty million, seven hundred thirty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 197 348 394 591 788 1182 1907 2364 3814 5713 5721 7628 11426 11442 17139 22852 22884 34278 55303 68556 110606 165909 221212 331818 375679 663636 751358 1127037 1502716 2254074 4508148 10894691 21789382 32684073 43578764 65368146 130736292