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130570512 = 24331471867
BaseRepresentation
bin1111100100001…
…01100100010000
3100002200200001220
413302011210100
5231411224022
620542325040
73143555022
oct762054420
9302620056
10130570512
1167781616
1237889780
1321088377
14134ac012
15b6e285c
hex7c85910

130570512 has 80 divisors (see below), whose sum is σ = 355786752. Its totient is φ = 41201280.

The previous prime is 130570511. The next prime is 130570513. The reversal of 130570512 is 215075031.

It is an interprime number because it is at equal distance from previous prime (130570511) and next prime (130570513).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130570511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69003 + ... + 70869.

Almost surely, 2130570512 is an apocalyptic number.

130570512 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 130570512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177893376).

130570512 is an abundant number, since it is smaller than the sum of its proper divisors (225216240).

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

130570512 is a wasteful number, since it uses less digits than its factorization.

130570512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 130570512 is about 11426.7454684175. The cubic root of 130570512 is about 507.3196712647.

It can be divided in two parts, 1305 and 70512, that added together give a palindrome (71817).

The spelling of 130570512 in words is "one hundred thirty million, five hundred seventy thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 1128 1457 1488 1867 2256 2914 3734 4371 5601 5828 7468 8742 11202 11656 14936 17484 22404 23312 29872 34968 44808 57877 69936 87749 89616 115754 173631 175498 231508 263247 347262 350996 463016 526494 694524 701992 926032 1052988 1389048 1403984 2105976 2720219 2778096 4211952 5440438 8160657 10880876 16321314 21761752 32642628 43523504 65285256 130570512