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130269312 = 2732113081
BaseRepresentation
bin1111100001111…
…00000010000000
3100002010100220100
413300330002000
5231322104222
620532042400
73141161625
oct760740200
9302110810
10130269312
1167596298
1237763400
1320cb1244
141343034c
15b6834ac
hex7c3c080

130269312 has 48 divisors (see below), whose sum is σ = 374866830. Its totient is φ = 43422720.

The previous prime is 130269311. The next prime is 130269313. The reversal of 130269312 is 213962031.

It is an interprime number because it is at equal distance from previous prime (130269311) and next prime (130269313).

It can be written as a sum of positive squares in only one way, i.e., 106998336 + 23270976 = 10344^2 + 4824^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (130269311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55389 + ... + 57692.

Almost surely, 2130269312 is an apocalyptic number.

130269312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130269312 is an abundant number, since it is smaller than the sum of its proper divisors (244597518).

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

130269312 is a wasteful number, since it uses less digits than its factorization.

130269312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113101 (or 113086 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130269312 is about 11413.5582532355. The cubic root of 130269312 is about 506.9292759908.

The spelling of 130269312 in words is "one hundred thirty million, two hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 113081 226162 339243 452324 678486 904648 1017729 1356972 1809296 2035458 2713944 3618592 4070916 5427888 7237184 8141832 10855776 14474368 16283664 21711552 32567328 43423104 65134656 130269312