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130481832 = 233133789127
BaseRepresentation
bin1111100011011…
…11111010101000
3100002112011102110
413301233322220
5231400404312
620540402320
73143035335
oct761577250
9302464373
10130481832
1167720a28
12378463a0
1321056bb0
141348798c
15b6c643c
hex7c6fea8

130481832 has 128 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 38320128.

The previous prime is 130481831. The next prime is 130481837. The reversal of 130481832 is 238184031.

It is a self number, because there is not a number n which added to its sum of digits gives 130481832.

It is not an unprimeable number, because it can be changed into a prime (130481831) 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 31 ways as a sum of consecutive naturals, for example, 1027353 + ... + 1027479.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2130481832 is an apocalyptic number.

130481832 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 130481832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

130481832 is an abundant number, since it is smaller than the sum of its proper divisors (237236568).

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

130481832 is a wasteful number, since it uses less digits than its factorization.

130481832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 130481832 is about 11422.8644393602. The cubic root of 130481832 is about 507.2047926020.

The spelling of 130481832 in words is "one hundred thirty million, four hundred eighty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 89 104 111 127 148 156 178 222 254 267 296 312 356 381 444 481 508 534 712 762 888 962 1016 1068 1157 1443 1524 1651 1924 2136 2314 2886 3048 3293 3302 3471 3848 4628 4699 4953 5772 6586 6604 6942 9256 9398 9879 9906 11303 11544 13172 13208 13884 14097 18796 19758 19812 22606 26344 27768 28194 33909 37592 39516 39624 42809 45212 56388 61087 67818 79032 85618 90424 112776 122174 128427 135636 146939 171236 183261 244348 256854 271272 293878 342472 366522 418211 440817 488696 513708 587756 733044 836422 881634 1027416 1175512 1254633 1466088 1672844 1763268 2509266 3345688 3526536 5018532 5436743 10037064 10873486 16310229 21746972 32620458 43493944 65240916 130481832