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130991248 = 2437409541
BaseRepresentation
bin1111100111011…
…00010010010000
3100010111001012201
413303230102100
5232013204443
620555332544
73150256453
oct763542220
9303431181
10130991248
1167a39733
1237a51154
13211a4a1b
141357b49a
15b77734d
hex7cec490

130991248 has 40 divisors (see below), whose sum is σ = 261775160. Its totient is φ = 63452160.

The previous prime is 130991167. The next prime is 130991251. The reversal of 130991248 is 842199031.

It can be written as a sum of positive squares in 4 ways, for example, as 69022864 + 61968384 = 8308^2 + 7872^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 241858 + ... + 242398.

It is an arithmetic number, because the mean of its divisors is an integer number (6544379).

Almost surely, 2130991248 is an apocalyptic number.

It is an amenable number.

130991248 is a deficient number, since it is larger than the sum of its proper divisors (130783912).

130991248 is a wasteful number, since it uses less digits than its factorization.

130991248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 130991248 is about 11445.1408029784. The cubic root of 130991248 is about 507.8639973204.

The spelling of 130991248 in words is "one hundred thirty million, nine hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 37 74 148 296 409 541 592 818 1082 1636 2164 3272 4328 6544 8656 15133 20017 30266 40034 60532 80068 121064 160136 221269 242128 320272 442538 885076 1770152 3540304 8186953 16373906 32747812 65495624 130991248