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130427094 = 23717296299
BaseRepresentation
bin1111100011000…
…10100011010110
3100002102101100010
413301202203112
5231342131334
620535301050
73142416630
oct761424326
9302371303
10130427094
1167693896
123781a786
1321037cc5
1413471a50
15b6b50e9
hex7c628d6

130427094 has 64 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 33858048.

The previous prime is 130427093. The next prime is 130427119. The reversal of 130427094 is 490724031.

It is a happy number.

It is a super-2 number, since 2×1304270942 = 34022453698569672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130427093) 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, 17557 + ... + 23855.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2130427094 is an apocalyptic number.

130427094 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 130427094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

130427094 is an abundant number, since it is smaller than the sum of its proper divisors (196164906).

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

130427094 is a wasteful number, since it uses less digits than its factorization.

130427094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 130427094 is about 11420.4682040624. The cubic root of 130427094 is about 507.1338574158.

The spelling of 130427094 in words is "one hundred thirty million, four hundred twenty-seven thousand, ninety-four".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 174 203 238 357 406 493 609 714 986 1218 1479 2958 3451 6299 6902 10353 12598 18897 20706 37794 44093 88186 107083 132279 182671 214166 264558 321249 365342 548013 642498 749581 1096026 1278697 1499162 2248743 2557394 3105407 3836091 4497486 6210814 7672182 9316221 18632442 21737849 43475698 65213547 130427094