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130044992 = 2671122399
BaseRepresentation
bin1111100000001…
…01010001000000
3100001200222012012
413300011101000
5231242414432
620523152052
73136235630
oct760052100
9301628165
10130044992
1167452800
1237675628
1320c330cc
14133b26c0
15b63bcb2
hex7c05440

130044992 has 84 divisors (see below), whose sum is σ = 324307200. Its totient is φ = 50645760.

The previous prime is 130044991. The next prime is 130045001. The reversal of 130044992 is 299440031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (130044991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53009 + ... + 55407.

It is an arithmetic number, because the mean of its divisors is an integer number (3860800).

Almost surely, 2130044992 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 130044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153600).

130044992 is an abundant number, since it is smaller than the sum of its proper divisors (194262208).

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

130044992 is a wasteful number, since it uses less digits than its factorization.

130044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 130044992 is about 11403.7271100285. The cubic root of 130044992 is about 506.6381362821.

The spelling of 130044992 in words is "one hundred thirty million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1694 1936 2399 2464 3388 3872 4798 4928 6776 7744 9596 13552 16793 19192 26389 27104 33586 38384 52778 54208 67172 76768 105556 134344 153536 184723 211112 268688 290279 369446 422224 537376 580558 738892 844448 1074752 1161116 1477784 1688896 2031953 2322232 2955568 4063906 4644464 5911136 8127812 9288928 11822272 16255624 18577856 32511248 65022496 130044992