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130456152 = 233229431453
BaseRepresentation
bin1111100011010…
…01101001011000
3100002110212012100
413301221221120
5231344044102
620540043400
73142600431
oct761515130
9302425170
10130456152
1167703702
1237833560
13210482b8
141347c488
15b6bda1c
hex7c69a58

130456152 has 96 divisors (see below), whose sum is σ = 374259600. Its totient is φ = 40981248.

The previous prime is 130456133. The next prime is 130456171. The reversal of 130456152 is 251654031.

130456152 is a `hidden beast` number, since 1 + 3 + 0 + 45 + 615 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130456133) and next prime (130456171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89058 + ... + 90510.

Almost surely, 2130456152 is an apocalyptic number.

130456152 is a gapful number since it is divisible by the number (12) 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 130456152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187129800).

130456152 is an abundant number, since it is smaller than the sum of its proper divisors (243803448).

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

130456152 is a wasteful number, since it uses less digits than its factorization.

130456152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 130456152 is about 11421.7403227354. The cubic root of 130456152 is about 507.1715162614.

The spelling of 130456152 in words is "one hundred thirty million, four hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 43 58 72 86 87 116 129 172 174 232 258 261 344 348 387 516 522 696 774 1032 1044 1247 1453 1548 2088 2494 2906 3096 3741 4359 4988 5812 7482 8718 9976 11223 11624 13077 14964 17436 22446 26154 29928 34872 42137 44892 52308 62479 84274 89784 104616 124958 126411 168548 187437 249916 252822 337096 374874 379233 499832 505644 562311 749748 758466 1011288 1124622 1499496 1516932 1811891 2249244 3033864 3623782 4498488 5435673 7247564 10871346 14495128 16307019 21742692 32614038 43485384 65228076 130456152