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78010368 = 211312697
BaseRepresentation
bin1001010011001…
…01100000000000
312102210100002220
410221211200000
5124432312433
611424011040
71635035322
oct451454000
9172710086
1078010368
1140042387
1222160a80
13132148a7
14a509612
156cae2b3
hex4a65800

78010368 has 48 divisors (see below), whose sum is σ = 207993240. Its totient is φ = 26001408.

The previous prime is 78010351. The next prime is 78010391. The reversal of 78010368 is 86301087.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205 + ... + 12492.

Almost surely, 278010368 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 78010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103996620).

78010368 is an abundant number, since it is smaller than the sum of its proper divisors (129982872).

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

78010368 is a wasteful number, since it uses less digits than its factorization.

78010368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 78010368 is about 8832.3478192381. The cubic root of 78010368 is about 427.2847984957.

The spelling of 78010368 in words is "seventy-eight million, ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 12697 25394 38091 50788 76182 101576 152364 203152 304728 406304 609456 812608 1218912 1625216 2437824 3250432 4875648 6500864 9751296 13001728 19502592 26003456 39005184 78010368