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130535808 = 2731379331
BaseRepresentation
bin1111100011111…
…01000110000000
3100002121220110120
413301331012000
5231404121213
620541500240
73143351604
oct761750600
9302556416
10130535808
1167758537
1237871680
1321075630
141349d504
15b6d7423
hex7c7d180

130535808 has 128 divisors (see below), whose sum is σ = 379276800. Its totient is φ = 39536640.

The previous prime is 130535803. The next prime is 130535819. The reversal of 130535808 is 808535031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130535803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394203 + ... + 394533.

It is an arithmetic number, because the mean of its divisors is an integer number (2963100).

Almost surely, 2130535808 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 130535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189638400).

130535808 is an abundant number, since it is smaller than the sum of its proper divisors (248740992).

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

130535808 is a wasteful number, since it uses less digits than its factorization.

130535808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 130535808 is about 11425.2268248819. The cubic root of 130535808 is about 507.2747208859.

The spelling of 130535808 in words is "one hundred thirty million, five hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 331 384 416 474 624 632 662 832 948 993 1027 1248 1264 1324 1664 1896 1986 2054 2496 2528 2648 3081 3792 3972 4108 4303 4992 5056 5296 6162 7584 7944 8216 8606 10112 10592 12324 12909 15168 15888 16432 17212 21184 24648 25818 26149 30336 31776 32864 34424 42368 49296 51636 52298 63552 65728 68848 78447 98592 103272 104596 127104 131456 137696 156894 197184 206544 209192 275392 313788 339937 394368 413088 418384 550784 627576 679874 826176 836768 1019811 1255152 1359748 1652352 1673536 2039622 2510304 2719496 3347072 4079244 5020608 5438992 8158488 10041216 10877984 16316976 21755968 32633952 43511936 65267904 130535808