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130132992 = 2103113851
BaseRepresentation
bin1111100000110…
…10110000000000
3100001212102220110
413300122300000
5231303223432
620525111320
73140053323
oct760326000
9301772813
10130132992
1167502930
12376b8540
1320c64192
14133d67ba
15b657dcc
hex7c1ac00

130132992 has 88 divisors (see below), whose sum is σ = 378482112. Its totient is φ = 39424000.

The previous prime is 130132979. The next prime is 130132993. The reversal of 130132992 is 299231031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (130132993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31867 + ... + 35717.

Almost surely, 2130132992 is an apocalyptic number.

130132992 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 130132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189241056).

130132992 is an abundant number, since it is smaller than the sum of its proper divisors (248349120).

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

130132992 is a wasteful number, since it uses less digits than its factorization.

130132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 130132992 is about 11407.5848451809. The cubic root of 130132992 is about 506.7523893124.

The spelling of 130132992 in words is "one hundred thirty million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 3851 4224 5632 7702 8448 11264 11553 15404 16896 23106 30808 33792 42361 46212 61616 84722 92424 123232 127083 169444 184848 246464 254166 338888 369696 492928 508332 677776 739392 985856 1016664 1355552 1478784 1971712 2033328 2711104 2957568 3943424 4066656 5422208 5915136 8133312 10844416 11830272 16266624 21688832 32533248 43377664 65066496 130132992