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130863640 = 23519409421
BaseRepresentation
bin1111100110011…
…01001000011000
3100010020120011111
413303031020120
5232000114030
620552510104
73146215435
oct763151030
9303216144
10130863640
1167961876
12379ab334
132115b90b
1413546b8c
15b74e62a
hex7ccd218

130863640 has 64 divisors (see below), whose sum is σ = 311436000. Its totient is φ = 49351680.

The previous prime is 130863613. The next prime is 130863641. The reversal of 130863640 is 46368031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130863641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310630 + ... + 311050.

Almost surely, 2130863640 is an apocalyptic number.

130863640 is a gapful number since it is divisible by the number (10) 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 130863640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155718000).

130863640 is an abundant number, since it is smaller than the sum of its proper divisors (180572360).

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

130863640 is a wasteful number, since it uses less digits than its factorization.

130863640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 130863640 is about 11439.5646770321. The cubic root of 130863640 is about 507.6990281185.

The spelling of 130863640 in words is "one hundred thirty million, eight hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 409 421 760 818 842 1636 1684 2045 2105 3272 3368 4090 4210 7771 7999 8180 8420 15542 15998 16360 16840 31084 31996 38855 39995 62168 63992 77710 79990 155420 159980 172189 310840 319960 344378 688756 860945 1377512 1721890 3271591 3443780 6543182 6887560 13086364 16357955 26172728 32715910 65431820 130863640