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130461336 = 23322378781
BaseRepresentation
bin1111100011010…
…10111010011000
3100002111010022100
413301222322120
5231344230321
620540123400
73142621515
oct761527230
9302433270
10130461336
1167707595
1237836560
132104a775
141348030c
15b6c0326
hex7c6ae98

130461336 has 48 divisors (see below), whose sum is σ = 368699760. Its totient is φ = 41595840.

The previous prime is 130461323. The next prime is 130461341. The reversal of 130461336 is 633164031.

130461336 is a `hidden beast` number, since 13 + 0 + 4 + 613 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37735 + ... + 41046.

It is an arithmetic number, because the mean of its divisors is an integer number (7681245).

Almost surely, 2130461336 is an apocalyptic number.

It is an amenable number.

130461336 is an abundant number, since it is smaller than the sum of its proper divisors (238238424).

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

130461336 is a wasteful number, since it uses less digits than its factorization.

130461336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78816 (or 78809 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 130461336 is about 11421.9672561254. The cubic root of 130461336 is about 507.1782340801.

The spelling of 130461336 in words is "one hundred thirty million, four hundred sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 78781 157562 236343 315124 472686 630248 709029 945372 1418058 1811963 1890744 2836116 3623926 5435889 5672232 7247852 10871778 14495704 16307667 21743556 32615334 43487112 65230668 130461336