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130378374 = 232729311151
BaseRepresentation
bin1111100010101…
…10101010000110
3100002022220111200
413301112222012
5231334101444
620534243330
73142124610
oct761265206
9302286450
10130378374
1167660225
12377b6546
132101ba89
141345bdb0
15b6a5969
hex7c56a86

130378374 has 96 divisors (see below), whose sum is σ = 345047040. Its totient is φ = 34776000.

The previous prime is 130378363. The next prime is 130378387. The reversal of 130378374 is 473873031.

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, 112699 + ... + 113849.

It is an arithmetic number, because the mean of its divisors is an integer number (3594240).

Almost surely, 2130378374 is an apocalyptic number.

130378374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130378374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172523520).

130378374 is an abundant number, since it is smaller than the sum of its proper divisors (214668666).

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

130378374 is a wasteful number, since it uses less digits than its factorization.

130378374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 130378374 is about 11418.3349924584. The cubic root of 130378374 is about 507.0707042834.

The spelling of 130378374 in words is "one hundred thirty million, three hundred seventy-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 31 42 58 62 63 87 93 126 174 186 203 217 261 279 406 434 522 558 609 651 899 1151 1218 1302 1798 1827 1953 2302 2697 3453 3654 3906 5394 6293 6906 8057 8091 10359 12586 16114 16182 18879 20718 24171 33379 35681 37758 48342 56637 66758 71362 72513 100137 107043 113274 145026 200274 214086 233653 249767 300411 321129 467306 499534 600822 642258 700959 749301 1034749 1401918 1498602 2069498 2102877 2247903 3104247 4205754 4495806 6208494 7243243 9312741 14486486 18625482 21729729 43459458 65189187 130378374