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68363136 = 2733131151
BaseRepresentation
bin1000001001100…
…10001110000000
311202122012121000
410010302032000
5120000110021
610441132000
71460035302
oct404621600
9152565530
1068363136
1135653266
121aa8a000
131121777a
149117972
156005b26
hex4132380

68363136 has 128 divisors (see below), whose sum is σ = 204652800. Its totient is φ = 22464000.

The previous prime is 68363129. The next prime is 68363173. The reversal of 68363136 is 63136386.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 68363136.

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, 452661 + ... + 452811.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 268363136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102326400).

68363136 is an abundant number, since it is smaller than the sum of its proper divisors (136289664).

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

68363136 is a wasteful number, since it uses less digits than its factorization.

68363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 68363136 is about 8268.2002878498. The cubic root of 68363136 is about 408.8907872908.

The spelling of 68363136 in words is "sixty-eight million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 151 192 216 262 288 302 384 393 432 453 524 576 604 786 864 906 1048 1152 1179 1208 1359 1572 1728 1812 2096 2358 2416 2718 3144 3456 3537 3624 4077 4192 4716 4832 5436 6288 7074 7248 8154 8384 9432 9664 10872 12576 14148 14496 16308 16768 18864 19328 19781 21744 25152 28296 28992 32616 37728 39562 43488 50304 56592 57984 59343 65232 75456 79124 86976 113184 118686 130464 150912 158248 173952 178029 226368 237372 260928 316496 356058 452736 474744 521856 534087 632992 712116 949488 1068174 1265984 1424232 1898976 2136348 2531968 2848464 3797952 4272696 5696928 7595904 8545392 11393856 17090784 22787712 34181568 68363136