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130783104 = 27321071061
BaseRepresentation
bin1111100101110…
…01011110000000
3100010002110200200
413302321132000
5231440024404
620551045200
73145431564
oct762713600
9303073620
10130783104
1167907311
1237970800
132113106a
14135256a4
15b735839
hex7cb9780

130783104 has 96 divisors (see below), whose sum is σ = 380217240. Its totient is φ = 43146240.

The previous prime is 130783087. The next prime is 130783109. The reversal of 130783104 is 401387031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130783109) 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, 122734 + ... + 123794.

Almost surely, 2130783104 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 130783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190108620).

130783104 is an abundant number, since it is smaller than the sum of its proper divisors (249434136).

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

130783104 is a wasteful number, since it uses less digits than its factorization.

With its successor (130783105) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1188).

130783104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130783104 is about 11436.0440712687. The cubic root of 130783104 is about 507.5948574985.

The spelling of 130783104 in words is "one hundred thirty million, seven hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 856 963 1061 1152 1284 1712 1926 2122 2568 3183 3424 3852 4244 5136 6366 6848 7704 8488 9549 10272 12732 13696 15408 16976 19098 20544 25464 30816 33952 38196 41088 50928 61632 67904 76392 101856 113527 123264 135808 152784 203712 227054 305568 340581 407424 454108 611136 681162 908216 1021743 1222272 1362324 1816432 2043486 2724648 3632864 4086972 5449296 7265728 8173944 10898592 14531456 16347888 21797184 32695776 43594368 65391552 130783104