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130875648 = 283198969
BaseRepresentation
bin1111100110100…
…00000100000000
3100010021011122020
413303100010000
5232001010043
620553041440
73146265441
oct763200400
9303234566
10130875648
116796a8a2
12379b6280
1321164217
141354b2c8
15b752e83
hex7cd0100

130875648 has 72 divisors (see below), whose sum is σ = 366693600. Its totient is φ = 41324544.

The previous prime is 130875643. The next prime is 130875653. The reversal of 130875648 is 846578031.

It is an interprime number because it is at equal distance from previous prime (130875643) and next prime (130875653).

It is not an unprimeable number, because it can be changed into a prime (130875643) 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, 10108 + ... + 19076.

Almost surely, 2130875648 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 130875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183346800).

130875648 is an abundant number, since it is smaller than the sum of its proper divisors (235817952).

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

130875648 is an equidigital number, since it uses as much as digits as its factorization.

130875648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9007 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 130875648 is about 11440.0895101393. The cubic root of 130875648 is about 507.7145564030.

The spelling of 130875648 in words is "one hundred thirty million, eight hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 8969 14592 17938 26907 35876 53814 71752 107628 143504 170411 215256 287008 340822 430512 511233 574016 681644 861024 1022466 1148032 1363288 1722048 2044932 2296064 2726576 3444096 4089864 5453152 6888192 8179728 10906304 16359456 21812608 32718912 43625216 65437824 130875648