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136399680 = 2633515787
BaseRepresentation
bin10000010000101…
…00101101000000
3100111122211012000
420020110231000
5234404242210
621311304000
73244243464
oct1010245500
9314584160
10136399680
116aaa310a
123981b000
1322349691
14141884a4
15be94ac0
hex8214b40

136399680 has 112 divisors (see below), whose sum is σ = 481218240. Its totient is φ = 36370944.

The previous prime is 136399667. The next prime is 136399691. The reversal of 136399680 is 86993631.

136399680 is a `hidden beast` number, since 1 + 3 + 639 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 747 + ... + 16533.

Almost surely, 2136399680 is an apocalyptic number.

136399680 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 136399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240609120).

136399680 is an abundant number, since it is smaller than the sum of its proper divisors (344818560).

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

136399680 is a wasteful number, since it uses less digits than its factorization.

136399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15813 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 136399680 is about 11679.0273567622. The cubic root of 136399680 is about 514.7595949618.

The spelling of 136399680 in words is "one hundred thirty-six million, three hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 15787 31574 47361 63148 78935 94722 126296 142083 157870 189444 236805 252592 284166 315740 378888 426249 473610 505184 568332 631480 710415 757776 852498 947220 1010368 1136664 1262960 1420830 1515552 1704996 1894440 2131245 2273328 2525920 2841660 3031104 3409992 3788880 4262490 4546656 5051840 5683320 6819984 7577760 8524980 9093312 11366640 13639968 15155520 17049960 22733280 27279936 34099920 45466560 68199840 136399680