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136053360 = 24325233811
BaseRepresentation
bin10000001110000…
…00001001110000
3100111000020010100
420013000021300
5234312201420
621300032400
73241302012
oct1007001160
9314006110
10136053360
116a8869a3
1239692700
1322257b61
14140d81b2
15be27190
hex81c0270

136053360 has 120 divisors (see below), whose sum is σ = 459439344. Its totient is φ = 36080640.

The previous prime is 136053343. The next prime is 136053371. The reversal of 136053360 is 63350631.

136053360 is a `hidden beast` number, since 13 + 60 + 533 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167355 + ... + 168165.

Almost surely, 2136053360 is an apocalyptic number.

136053360 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 136053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229719672).

136053360 is an abundant number, since it is smaller than the sum of its proper divisors (323385984).

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

136053360 is a wasteful number, since it uses less digits than its factorization.

136053360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 136053360 is about 11664.1913564550. The cubic root of 136053360 is about 514.3235659971.

The spelling of 136053360 in words is "one hundred thirty-six million, fifty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 233 240 360 466 699 720 811 932 1165 1398 1622 1864 2097 2330 2433 2796 3244 3495 3728 4055 4194 4660 4866 5592 6488 6990 7299 8110 8388 9320 9732 10485 11184 12165 12976 13980 14598 16220 16776 18640 19464 20970 24330 27960 29196 32440 33552 36495 38928 41940 48660 55920 58392 64880 72990 83880 97320 116784 145980 167760 188963 194640 291960 377926 566889 583920 755852 944815 1133778 1511704 1700667 1889630 2267556 2834445 3023408 3401334 3779260 4535112 5668890 6802668 7558520 8503335 9070224 11337780 13605336 15117040 17006670 22675560 27210672 34013340 45351120 68026680 136053360