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130354112 = 2672197211
BaseRepresentation
bin1111100010100…
…00101111000000
3100002021200020002
413301100233000
5231332312422
620533535132
73141664100
oct761205700
9302250202
10130354112
1167643a79
12377a44a8
1321010a15
1413453200
15b69d692
hex7c50bc0

130354112 has 84 divisors (see below), whose sum is σ = 303864264. Its totient is φ = 55319040.

The previous prime is 130354111. The next prime is 130354121. The reversal of 130354112 is 211453031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130354111) 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, 617687 + ... + 617897.

Almost surely, 2130354112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151932132).

130354112 is an abundant number, since it is smaller than the sum of its proper divisors (173510152).

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

130354112 is a wasteful number, since it uses less digits than its factorization.

130354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 130354112 is about 11417.2725289361. The cubic root of 130354112 is about 507.0392488811.

The spelling of 130354112 in words is "one hundred thirty million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 197 211 224 392 394 422 448 784 788 844 1379 1477 1568 1576 1688 2758 2954 3136 3152 3376 5516 5908 6304 6752 9653 10339 11032 11816 12608 13504 19306 20678 22064 23632 38612 41356 41567 44128 47264 77224 82712 83134 88256 94528 154448 165424 166268 290969 308896 330848 332536 581938 617792 661696 665072 1163876 1330144 2036783 2327752 2660288 4073566 4655504 8147132 9311008 16294264 18622016 32588528 65177056 130354112