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130727808 = 2732373067
BaseRepresentation
bin1111100101010…
…11111110000000
3100002222122211200
413302223332000
5231431242213
620545541200
73145111431
oct762537600
9302878750
10130727808
1167879812
1237944800
1321111b43
141350d488
15b724273
hex7cabf80

130727808 has 96 divisors (see below), whose sum is σ = 386475960. Its totient is φ = 42384384.

The previous prime is 130727801. The next prime is 130727833. The reversal of 130727808 is 808727031.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130727801) 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, 41091 + ... + 44157.

Almost surely, 2130727808 is an apocalyptic number.

130727808 is a gapful number since it is divisible by the number (18) 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 130727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193237980).

130727808 is an abundant number, since it is smaller than the sum of its proper divisors (255748152).

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

130727808 is a wasteful number, since it uses less digits than its factorization.

130727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 130727808 is about 11433.6261964435. The cubic root of 130727808 is about 507.5233092095.

The spelling of 130727808 in words is "one hundred thirty million, seven hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3067 3552 4736 5328 6134 7104 9201 10656 12268 14208 18402 21312 24536 27603 36804 42624 49072 55206 73608 98144 110412 113479 147216 196288 220824 226958 294432 340437 392576 441648 453916 588864 680874 883296 907832 1021311 1177728 1361748 1766592 1815664 2042622 2723496 3533184 3631328 4085244 5446992 7262656 8170488 10893984 14525312 16340976 21787968 32681952 43575936 65363904 130727808