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130367132 = 22719372179
BaseRepresentation
bin1111100010100…
…11111010011100
3100002022100002022
413301103322130
5231333222012
620534115312
73142050050
oct761237234
9302270068
10130367132
1167652835
12377abb38
132101691c
1413457c60
15b6a2472
hex7c53e9c

130367132 has 72 divisors (see below), whose sum is σ = 283651200. Its totient is φ = 51212736.

The previous prime is 130367131. The next prime is 130367177. The reversal of 130367132 is 231763031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130367131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728219 + ... + 728397.

It is an arithmetic number, because the mean of its divisors is an integer number (3939600).

Almost surely, 2130367132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130367132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141825600).

130367132 is an abundant number, since it is smaller than the sum of its proper divisors (153284068).

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

130367132 is a wasteful number, since it uses less digits than its factorization.

130367132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 130367132 is about 11417.8427034182. The cubic root of 130367132 is about 507.0561296457.

The spelling of 130367132 in words is "one hundred thirty million, three hundred sixty-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 179 259 266 358 518 532 703 716 1036 1253 1369 1406 2506 2738 2812 3401 4921 5012 5476 6623 6802 9583 9842 13246 13604 19166 19684 23807 26011 26492 38332 46361 47614 52022 92722 95228 104044 125837 182077 185444 245051 251674 364154 490102 503348 728308 880859 980204 1715357 1761718 3430714 3523436 4655969 6861428 9311938 18623876 32591783 65183566 130367132