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130042892 = 22731233643
BaseRepresentation
bin1111100000001…
…00110000001100
3100001200212022102
413300010300030
5231242333032
620523134232
73136226540
oct760046014
9301625272
10130042892
1167451171
1237674378
1320c32175
14133b1a20
15b63b362
hex7c04c0c

130042892 has 48 divisors (see below), whose sum is σ = 270047232. Its totient is φ = 53619840.

The previous prime is 130042841. The next prime is 130042907. The reversal of 130042892 is 298240031.

It is a super-2 number, since 2×1300428922 = 33822307519447328, which contains 22 as substring.

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, 201923 + ... + 202565.

It is an arithmetic number, because the mean of its divisors is an integer number (5625984).

Almost surely, 2130042892 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 130042892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135023616).

130042892 is an abundant number, since it is smaller than the sum of its proper divisors (140004340).

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

130042892 is a wasteful number, since it uses less digits than its factorization.

130042892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 130042892 is about 11403.6350344967. The cubic root of 130042892 is about 506.6354091597.

The spelling of 130042892 in words is "one hundred thirty million, forty-two thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 233 434 466 643 868 932 1286 1631 2572 3262 4501 6524 7223 9002 14446 18004 19933 28892 39866 50561 79732 101122 139531 149819 202244 279062 299638 558124 599276 1048733 2097466 4194932 4644389 9288778 18577556 32510723 65021446 130042892