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130670928 = 24331312309
BaseRepresentation
bin1111100100111…
…10000101010000
3100002212202211000
413302132011100
5231422432203
620544422000
73144453543
oct762360520
9302782730
10130670928
1167840003
1237917900
13210c1c9b
14134d685a
15b7124a3
hex7c9e150

130670928 has 80 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 43205760.

The previous prime is 130670909. The next prime is 130670929. The reversal of 130670928 is 829076031.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130670892 and 130670901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130670929) 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, 55438 + ... + 57746.

It is an arithmetic number, because the mean of its divisors is an integer number (4726260).

Almost surely, 2130670928 is an apocalyptic number.

130670928 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 130670928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

130670928 is an abundant number, since it is smaller than the sum of its proper divisors (247429872).

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

130670928 is a wasteful number, since it uses less digits than its factorization.

130670928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130670928 is about 11431.1385259737. The cubic root of 130670928 is about 507.4496903059.

The spelling of 130670928 in words is "one hundred thirty million, six hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2309 2358 3144 3537 4618 4716 6288 6927 7074 9236 9432 13854 14148 18472 18864 20781 27708 28296 36944 41562 55416 56592 62343 83124 110832 124686 166248 249372 302479 332496 498744 604958 907437 997488 1209916 1814874 2419832 2722311 3629748 4839664 5444622 7259496 8166933 10889244 14518992 16333866 21778488 32667732 43556976 65335464 130670928