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130836864 = 2732931379
BaseRepresentation
bin1111100110001…
…10100110000000
3100010012012102210
413303012212000
5231443234424
620552142120
73146044404
oct763064600
9303165383
10130836864
1167943744
1237997940
132114c682
141353b104
15b746729
hex7cc6980

130836864 has 128 divisors (see below), whose sum is σ = 372096000. Its totient is φ = 40642560.

The previous prime is 130836859. The next prime is 130836899. The reversal of 130836864 is 468638031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345027 + ... + 345405.

It is an arithmetic number, because the mean of its divisors is an integer number (2907000).

Almost surely, 2130836864 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 130836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186048000).

130836864 is an abundant number, since it is smaller than the sum of its proper divisors (241259136).

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

130836864 is a wasteful number, since it uses less digits than its factorization.

130836864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 130836864 is about 11438.3942929067. The cubic root of 130836864 is about 507.6643990027.

The spelling of 130836864 in words is "one hundred thirty million, eight hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 348 372 379 384 464 496 696 744 758 899 928 992 1137 1392 1488 1516 1798 1856 1984 2274 2697 2784 2976 3032 3596 3712 3968 4548 5394 5568 5952 6064 7192 9096 10788 10991 11136 11749 11904 12128 14384 18192 21576 21982 23498 24256 28768 32973 35247 36384 43152 43964 46996 48512 57536 65946 70494 72768 86304 87928 93992 115072 131892 140988 145536 172608 175856 187984 263784 281976 340721 345216 351712 375968 527568 563952 681442 703424 751936 1022163 1055136 1127904 1362884 1406848 1503872 2044326 2110272 2255808 2725768 4088652 4220544 4511616 5451536 8177304 10903072 16354608 21806144 32709216 43612288 65418432 130836864