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68507376 = 2437533847
BaseRepresentation
bin1000001010101…
…01011011110000
311202220112110020
410011111123300
5120014214001
610444203440
71461205650
oct405253360
9152815406
1068507376
1135741673
121ab39580
1311268312
149154360
156033736
hex41556f0

68507376 has 80 divisors (see below), whose sum is σ = 206129664. Its totient is φ = 19199232.

The previous prime is 68507321. The next prime is 68507377. The reversal of 68507376 is 67370586.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68507377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15885 + ... + 19731.

Almost surely, 268507376 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 68507376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103064832).

68507376 is an abundant number, since it is smaller than the sum of its proper divisors (137622288).

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

68507376 is a wasteful number, since it uses less digits than its factorization.

68507376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 68507376 is about 8276.9182670847. The cubic root of 68507376 is about 409.1781594013.

The spelling of 68507376 in words is "sixty-eight million, five hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 3847 4452 5936 7694 8904 11541 15388 17808 23082 26929 30776 46164 53858 61552 80787 92328 107716 161574 184656 203891 215432 323148 407782 430864 611673 646296 815564 1223346 1292592 1427237 1631128 2446692 2854474 3262256 4281711 4893384 5708948 8563422 9786768 11417896 17126844 22835792 34253688 68507376