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130045512 = 23317292379
BaseRepresentation
bin1111100000001…
…01011001001000
3100001200222220110
413300011121020
5231242424022
620523154320
73136240302
oct760053110
9301628813
10130045512
1167453133
12376759a0
1320c3340c
14133b2972
15b63c00c
hex7c05648

130045512 has 96 divisors (see below), whose sum is σ = 357458400. Its totient is φ = 39287808.

The previous prime is 130045477. The next prime is 130045549. The reversal of 130045512 is 215540031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342939 + ... + 343317.

It is an arithmetic number, because the mean of its divisors is an integer number (3723525).

Almost surely, 2130045512 is an apocalyptic number.

130045512 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 130045512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178729200).

130045512 is an abundant number, since it is smaller than the sum of its proper divisors (227412888).

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

130045512 is a wasteful number, since it uses less digits than its factorization.

130045512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 130045512 is about 11403.7499095692. The cubic root of 130045512 is about 506.6388115650.

Adding to 130045512 its reverse (215540031), we get a palindrome (345585543).

The spelling of 130045512 in words is "one hundred thirty million, forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 379 408 493 696 758 841 986 1137 1479 1516 1682 1972 2274 2523 2958 3032 3364 3944 4548 5046 5916 6443 6728 9096 10092 10991 11832 12886 14297 19329 20184 21982 25772 28594 32973 38658 42891 43964 51544 57188 65946 77316 85782 87928 114376 131892 154632 171564 186847 263784 318739 343128 373694 560541 637478 747388 956217 1121082 1274956 1494776 1912434 2242164 2549912 3824868 4484328 5418563 7649736 10837126 16255689 21674252 32511378 43348504 65022756 130045512