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78067368 = 2333734951
BaseRepresentation
bin1001010011100…
…11011010101000
312102220020022000
410221303122220
5124441123433
611425131000
71635363441
oct451633250
9172806260
1078067368
1140081195
1222189a60
1313234812
14a5222c8
156cc1113
hex4a736a8

78067368 has 64 divisors (see below), whose sum is σ = 219868800. Its totient is φ = 25660800.

The previous prime is 78067361. The next prime is 78067387. The reversal of 78067368 is 86376087.

It is not an unprimeable number, because it can be changed into a prime (78067361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13293 + ... + 18243.

It is an arithmetic number, because the mean of its divisors is an integer number (3435450).

Almost surely, 278067368 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 78067368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109934400).

78067368 is an abundant number, since it is smaller than the sum of its proper divisors (141801432).

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

78067368 is a wasteful number, since it uses less digits than its factorization.

78067368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 78067368 is about 8835.5740051227. The cubic root of 78067368 is about 427.3888415208.

The spelling of 78067368 in words is "seventy-eight million, sixty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 4951 5256 7884 9902 14853 15768 19804 29706 39608 44559 59412 89118 118824 133677 178236 267354 356472 361423 534708 722846 1069416 1084269 1445692 2168538 2891384 3252807 4337076 6505614 8674152 9758421 13011228 19516842 26022456 39033684 78067368