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68014368 = 25321391699
BaseRepresentation
bin1000000110111…
…01000100100000
311201222111011200
410003131010200
5114402424433
610425441200
71454053422
oct403350440
9151874150
1068014368
1135435224
121a940200
1311124ab6
149066812
155e87613
hex40dd120

68014368 has 72 divisors (see below), whose sum is σ = 194922000. Its totient is φ = 22495104.

The previous prime is 68014291. The next prime is 68014369. The reversal of 68014368 is 86341086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (68014369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39183 + ... + 40881.

It is an arithmetic number, because the mean of its divisors is an integer number (2707250).

Almost surely, 268014368 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 68014368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97461000).

68014368 is an abundant number, since it is smaller than the sum of its proper divisors (126907632).

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

68014368 is a wasteful number, since it uses less digits than its factorization.

68014368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68014368 is about 8247.0823931861. The cubic root of 68014368 is about 408.1942558243.

The spelling of 68014368 in words is "sixty-eight million, fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 1699 2224 2502 3336 3398 4448 5004 5097 6672 6796 10008 10194 13344 13592 15291 20016 20388 27184 30582 40032 40776 54368 61164 81552 122328 163104 236161 244656 472322 489312 708483 944644 1416966 1889288 2125449 2833932 3778576 4250898 5667864 7557152 8501796 11335728 17003592 22671456 34007184 68014368