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130993464 = 233722329167
BaseRepresentation
bin1111100111011…
…00110100111000
3100010111011020210
413303230310320
5232013242324
620555351120
73150266100
oct763546470
9303434223
10130993464
1167a40368
1237a524a0
13211a5a34
141357c200
15b777d29
hex7cecd38

130993464 has 192 divisors, whose sum is σ = 413683200. Its totient is φ = 34358016.

The previous prime is 130993439. The next prime is 130993477. The reversal of 130993464 is 464399031.

It is a super-2 number, since 2×1309934642 = 34318575221438592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784309 + ... + 784475.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2130993464 is an apocalyptic number.

130993464 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 130993464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

130993464 is an abundant number, since it is smaller than the sum of its proper divisors (282689736).

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

130993464 is a wasteful number, since it uses less digits than its factorization.

130993464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 130993464 is about 11445.2376122123. The cubic root of 130993464 is about 507.8668611766.

The spelling of 130993464 in words is "one hundred thirty million, nine hundred ninety-three thousand, four hundred sixty-four".