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136264680 = 233654673
BaseRepresentation
bin10000001111100…
…11101111101000
3100111101222000000
420013303233220
5234340432210
621304343000
73243142056
oct1007635750
9314358000
10136264680
116aa10742
1239774a60
13223000b6
14141511d6
15be69ac0
hex81f3be8

136264680 has 112 divisors (see below), whose sum is σ = 459781380. Its totient is φ = 36329472.

The previous prime is 136264663. The next prime is 136264693. The reversal of 136264680 is 86462631.

136264680 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 646 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129823236 + 6441444 = 11394^2 + 2538^2 .

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 27 ways as a sum of consecutive naturals, for example, 26824 + ... + 31496.

Almost surely, 2136264680 is an apocalyptic number.

136264680 is a gapful number since it is divisible by the number (10) 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 136264680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229890690).

136264680 is an abundant number, since it is smaller than the sum of its proper divisors (323516700).

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

136264680 is an equidigital number, since it uses as much as digits as its factorization.

136264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 136264680 is about 11673.2463351032. The cubic root of 136264680 is about 514.5897131253.

The spelling of 136264680 in words is "one hundred thirty-six million, two hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4673 4860 5832 7290 9346 9720 14019 14580 18692 23365 28038 29160 37384 42057 46730 56076 70095 84114 93460 112152 126171 140190 168228 186920 210285 252342 280380 336456 378513 420570 504684 560760 630855 757026 841140 1009368 1135539 1261710 1514052 1682280 1892565 2271078 2523420 3028104 3406617 3785130 4542156 5046840 5677695 6813234 7570260 9084312 11355390 13626468 15140520 17033085 22710780 27252936 34066170 45421560 68132340 136264680