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130877264 = 24767107163
BaseRepresentation
bin1111100110100…
…00011101010000
3100010021020212002
413303100131100
5232001033024
620553053132
73146303240
oct763203520
9303236762
10130877264
1167971031
12379b71a8
1321164b8b
141354bb20
15b7536ae
hex7cd0750

130877264 has 80 divisors (see below), whose sum is σ = 298695168. Its totient is φ = 54400896.

The previous prime is 130877213. The next prime is 130877267. The reversal of 130877264 is 462778031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130877267) 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, 802847 + ... + 803009.

Almost surely, 2130877264 is an apocalyptic number.

130877264 is a gapful number since it is divisible by the number (14) 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 130877264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149347584).

130877264 is an abundant number, since it is smaller than the sum of its proper divisors (167817904).

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

130877264 is a wasteful number, since it uses less digits than its factorization.

130877264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 130877264 is about 11440.1601387393. The cubic root of 130877264 is about 507.7166460796.

The spelling of 130877264 in words is "one hundred thirty million, eight hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 107 112 134 163 214 268 326 428 469 536 652 749 856 938 1072 1141 1304 1498 1712 1876 2282 2608 2996 3752 4564 5992 7169 7504 9128 10921 11984 14338 17441 18256 21842 28676 34882 43684 50183 57352 69764 76447 87368 100366 114704 122087 139528 152894 174736 200732 244174 279056 305788 401464 488348 611576 802928 976696 1168547 1223152 1953392 2337094 4674188 8179829 9348376 16359658 18696752 32719316 65438632 130877264