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130976748 = 223271932693
BaseRepresentation
bin1111100111010…
…00101111101100
3100010110022022200
413303220233230
5232012223443
620555141500
73150166260
oct763505754
9303408280
10130976748
1167a29851
1237a44890
132119b246
14135760a0
15b772dd3
hex7ce8bec

130976748 has 72 divisors (see below), whose sum is σ = 380479008. Its totient is φ = 37214208.

The previous prime is 130976711. The next prime is 130976749. The reversal of 130976748 is 847679031.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (130976749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47290 + ... + 49982.

Almost surely, 2130976748 is an apocalyptic number.

130976748 is a gapful number since it is divisible by the number (18) 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 130976748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190239504).

130976748 is an abundant number, since it is smaller than the sum of its proper divisors (249502260).

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

130976748 is a wasteful number, since it uses less digits than its factorization.

130976748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 130976748 is about 11444.5073288456. The cubic root of 130976748 is about 507.8452573924.

The spelling of 130976748 in words is "one hundred thirty million, nine hundred seventy-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 193 252 386 579 772 1158 1351 1737 2316 2693 2702 3474 4053 5386 5404 6948 8079 8106 10772 12159 16158 16212 18851 24237 24318 32316 37702 48474 48636 56553 75404 96948 113106 169659 226212 339318 519749 678636 1039498 1559247 2078996 3118494 3638243 4677741 6236988 7276486 9355482 10914729 14552972 18710964 21829458 32744187 43658916 65488374 130976748