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130257414 = 23271033789
BaseRepresentation
bin1111100001110…
…01001000000110
3100002002202120200
413300321020012
5231321214124
620531511330
73141112140
oct760711006
9302082520
10130257414
1167588361
1237758546
1320ca89c1
1413429c90
15b67ebc9
hex7c39206

130257414 has 24 divisors (see below), whose sum is σ = 322542480. Its totient is φ = 37216368.

The previous prime is 130257401. The next prime is 130257419. The reversal of 130257414 is 414752031.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130257419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516769 + ... + 517020.

It is an arithmetic number, because the mean of its divisors is an integer number (13439270).

Almost surely, 2130257414 is an apocalyptic number.

130257414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130257414 is an abundant number, since it is smaller than the sum of its proper divisors (192285066).

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

130257414 is a wasteful number, since it uses less digits than its factorization.

130257414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033804 (or 1033801 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 130257414 is about 11413.0370191286. The cubic root of 130257414 is about 506.9138422506.

The spelling of 130257414 in words is "one hundred thirty million, two hundred fifty-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1033789 2067578 3101367 6202734 7236523 9304101 14473046 18608202 21709569 43419138 65128707 130257414