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136343680 = 27511107181
BaseRepresentation
bin10000010000001…
…11000010000000
3100111112222100221
420020013002000
5234400444210
621310152424
73243621304
oct1010070200
9314488327
10136343680
116aa65030
12397b2714
132232a045
1414171d04
15be831da
hex8207080

136343680 has 128 divisors (see below), whose sum is σ = 360884160. Its totient is φ = 48844800.

The previous prime is 136343659. The next prime is 136343681. The reversal of 136343680 is 86343631.

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

It is not an unprimeable number, because it can be changed into a prime (136343681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753190 + ... + 753370.

Almost surely, 2136343680 is an apocalyptic number.

136343680 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 136343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

136343680 is an abundant number, since it is smaller than the sum of its proper divisors (224540480).

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

136343680 is a wasteful number, since it uses less digits than its factorization.

136343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 136343680 is about 11676.6296507169. The cubic root of 136343680 is about 514.6891390702.

The spelling of 136343680 in words is "one hundred thirty-six million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 128 160 176 181 214 220 320 352 362 428 440 535 640 704 724 856 880 905 1070 1177 1408 1448 1712 1760 1810 1991 2140 2354 2896 3424 3520 3620 3982 4280 4708 5792 5885 6848 7040 7240 7964 8560 9416 9955 11584 11770 13696 14480 15928 17120 18832 19367 19910 23168 23540 28960 31856 34240 37664 38734 39820 47080 57920 63712 68480 75328 77468 79640 94160 96835 115840 127424 150656 154936 159280 188320 193670 213037 254848 309872 318560 376640 387340 426074 619744 637120 753280 774680 852148 1065185 1239488 1274240 1549360 1704296 2130370 2478976 3098720 3408592 4260740 6197440 6817184 8521480 12394880 13634368 17042960 27268736 34085920 68171840 136343680