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130493376 = 26331337157
BaseRepresentation
bin1111100011100…
…10101111000000
3100002112202021000
413301302233000
5231401242001
620540532000
73143114106
oct761625700
9302482230
10130493376
1167729672
1237851000
132105c220
141348bc76
15b6c9a86
hex7c72bc0

130493376 has 224 divisors, whose sum is σ = 427004480. Its totient is φ = 38817792.

The previous prime is 130493371. The next prime is 130493393. The reversal of 130493376 is 673394031.

130493376 is a `hidden beast` number, since 130 + 493 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130493376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130493371) 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, 831090 + ... + 831246.

It is an arithmetic number, because the mean of its divisors is an integer number (1906270).

Almost surely, 2130493376 is an apocalyptic number.

130493376 is a gapful number since it is divisible by the number (16) 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 130493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213502240).

130493376 is an abundant number, since it is smaller than the sum of its proper divisors (296511104).

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

130493376 is a wasteful number, since it uses less digits than its factorization.

130493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 130493376 is about 11423.3697305130. The cubic root of 130493376 is about 507.2197499831.

The spelling of 130493376 in words is "one hundred thirty million, four hundred ninety-three thousand, three hundred seventy-six".