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130739712 = 293471811
BaseRepresentation
bin1111100101011…
…10111000000000
3100010000021011120
413302232320000
5231432132322
620550112240
73145161225
oct762567000
9303007146
10130739712
1167887754
123794b680
132111739c
141351394c
15b727a5c
hex7caee00

130739712 has 80 divisors (see below), whose sum is σ = 355905792. Its totient is φ = 42629120.

The previous prime is 130739689. The next prime is 130739747. The reversal of 130739712 is 217937031.

It is a happy number.

It is a congruent number.

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, 71287 + ... + 73097.

Almost surely, 2130739712 is an apocalyptic number.

130739712 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 130739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177952896).

130739712 is an abundant number, since it is smaller than the sum of its proper divisors (225166080).

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

130739712 is an equidigital number, since it uses as much as digits as its factorization.

130739712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 130739712 is about 11434.1467543494. The cubic root of 130739712 is about 507.5387136701.

The spelling of 130739712 in words is "one hundred thirty million, seven hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1128 1504 1536 1811 2256 3008 3622 4512 5433 6016 7244 9024 10866 12032 14488 18048 21732 24064 28976 36096 43464 57952 72192 85117 86928 115904 170234 173856 231808 255351 340468 347712 463616 510702 680936 695424 927232 1021404 1361872 1390848 2042808 2723744 2781696 4085616 5447488 8171232 10894976 16342464 21789952 32684928 43579904 65369856 130739712