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130983696 = 24331931571
BaseRepresentation
bin1111100111010…
…10011100010000
3100010110122212000
413303222130100
5232012434241
620555234000
73150225444
oct763523420
9303418760
10130983696
1167a33a98
1237a48900
13211a145c
1413578824
15b774eb6
hex7cea710

130983696 has 80 divisors (see below), whose sum is σ = 378160320. Its totient is φ = 43407360.

The previous prime is 130983683. The next prime is 130983751. The reversal of 130983696 is 696389031.

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, 82591 + ... + 84161.

It is an arithmetic number, because the mean of its divisors is an integer number (4727004).

Almost surely, 2130983696 is an apocalyptic number.

130983696 is a gapful number since it is divisible by the number (16) 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 130983696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189080160).

130983696 is an abundant number, since it is smaller than the sum of its proper divisors (247176624).

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

130983696 is a wasteful number, since it uses less digits than its factorization.

130983696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 130983696 is about 11444.8108765501. The cubic root of 130983696 is about 507.8542372215.

The spelling of 130983696 in words is "one hundred thirty million, nine hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 193 216 386 432 579 772 1158 1544 1571 1737 2316 3088 3142 3474 4632 4713 5211 6284 6948 9264 9426 10422 12568 13896 14139 18852 20844 25136 27792 28278 37704 41688 42417 56556 75408 83376 84834 113112 169668 226224 303203 339336 606406 678672 909609 1212812 1819218 2425624 2728827 3638436 4851248 5457654 7276872 8186481 10915308 14553744 16372962 21830616 32745924 43661232 65491848 130983696