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130271232 = 2113713233
BaseRepresentation
bin1111100001111…
…00100000000000
3100002010110112110
413300330200000
5231322134412
620532055320
73141200340
oct760744000
9302113473
10130271232
1167597783
1237764540
1320cb2090
1413430d20
15b683d3c
hex7c3c800

130271232 has 192 divisors, whose sum is σ = 429287040. Its totient is φ = 34209792.

The previous prime is 130271213. The next prime is 130271243. The reversal of 130271232 is 232172031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130271199 and 130271208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558988 + ... + 559220.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2130271232 is an apocalyptic number.

130271232 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 130271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

130271232 is an abundant number, since it is smaller than the sum of its proper divisors (299015808).

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

130271232 is a wasteful number, since it uses less digits than its factorization.

130271232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 130271232 is about 11413.6423634176. The cubic root of 130271232 is about 506.9317664710.

The spelling of 130271232 in words is "one hundred thirty million, two hundred seventy-one thousand, two hundred thirty-two".