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130693024 = 25711293159
BaseRepresentation
bin1111100101000…
…11011110100000
3100002220220010101
413302203132200
5231424134044
620545112144
73144605140
oct762433640
9302826111
10130693024
1167855670
1237928654
13210cc067
1413500920
15b718cd4
hex7ca37a0

130693024 has 192 divisors, whose sum is σ = 348364800. Its totient is φ = 46771200.

The previous prime is 130693009. The next prime is 130693027. The reversal of 130693024 is 420396031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 130692983 and 130693001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130693027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2215107 + ... + 2215165.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2130693024 is an apocalyptic number.

130693024 is a gapful number since it is divisible by the number (14) 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 130693024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

130693024 is an abundant number, since it is smaller than the sum of its proper divisors (217671776).

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

130693024 is a wasteful number, since it uses less digits than its factorization.

130693024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 130693024 is about 11432.1049680275. The cubic root of 130693024 is about 507.4782913538.

The spelling of 130693024 in words is "one hundred thirty million, six hundred ninety-three thousand, twenty-four".