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68255136 = 2534171549
BaseRepresentation
bin1000001000101…
…11110110100000
311202102201110000
410010113312200
5114433131021
610434540000
71456105365
oct404276640
9152381400
1068255136
113558a104
121aa37600
13111aa571
1490ca46c
155ed3b26
hex4117da0

68255136 has 120 divisors (see below), whose sum is σ = 212681700. Its totient is φ = 21399552.

The previous prime is 68255123. The next prime is 68255137. The reversal of 68255136 is 63155286.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 291600 = 8244^2 + 540^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 68255136.

It is not an unprimeable number, because it can be changed into a prime (68255137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43290 + ... + 44838.

Almost surely, 268255136 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 68255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106340850).

68255136 is an abundant number, since it is smaller than the sum of its proper divisors (144426564).

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

68255136 is a wasteful number, since it uses less digits than its factorization.

68255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1571 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 68255136 is about 8261.6666599422. Note that the first 4 decimals coincide. The cubic root of 68255136 is about 408.6753520782.

The spelling of 68255136 in words is "sixty-eight million, two hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1549 1632 1836 2448 2592 2754 3098 3672 4647 4896 5508 6196 7344 9294 11016 12392 13941 14688 18588 22032 24784 26333 27882 37176 41823 44064 49568 52666 55764 74352 78999 83646 105332 111528 125469 148704 157998 167292 210664 223056 236997 250938 315996 334584 421328 446112 473994 501876 631992 669168 710991 842656 947988 1003752 1263984 1338336 1421982 1895976 2007504 2132973 2527968 2843964 3791952 4015008 4265946 5687928 7583904 8531892 11375856 17063784 22751712 34127568 68255136