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136430784 = 2633711279
BaseRepresentation
bin10000010000111…
…00010011000000
3100111201101212000
420020130103000
5234411241114
621312104000
73244433250
oct1010342300
9314641760
10136430784
1170014516
1239835000
132235a899
1414195960
15be9de09
hex821c4c0

136430784 has 112 divisors (see below), whose sum is σ = 458419200. Its totient is φ = 38976768.

The previous prime is 136430717. The next prime is 136430843. The reversal of 136430784 is 487034631.

136430784 is a `hidden beast` number, since 1 + 3 + 643 + 0 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1364307842 = 37226717645709312, which contains 22 as substring.

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

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, 6457 + ... + 17735.

Almost surely, 2136430784 is an apocalyptic number.

136430784 is a gapful number since it is divisible by the number (14) 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 136430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229209600).

136430784 is an abundant number, since it is smaller than the sum of its proper divisors (321988416).

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

136430784 is a wasteful number, since it uses less digits than its factorization.

136430784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11307 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 136430784 is about 11680.3588985955. The cubic root of 136430784 is about 514.7987198473.

The spelling of 136430784 in words is "one hundred thirty-six million, four hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 11279 12096 22558 33837 45116 67674 78953 90232 101511 135348 157906 180464 203022 236859 270696 304533 315812 360928 406044 473718 541392 609066 631624 710577 721856 812088 947436 1082784 1218132 1263248 1421154 1624176 1894872 2131731 2165568 2436264 2526496 2842308 3248352 3789744 4263462 4872528 5052992 5684616 6496704 7579488 8526924 9745056 11369232 15158976 17053848 19490112 22738464 34107696 45476928 68215392 136430784