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68867120 = 2457313967
BaseRepresentation
bin1000001101011…
…01010000110000
311210120210221002
410012231100300
5120112221440
610500021132
71464234530
oct406552060
9153523832
1068867120
1135967983
121b0917a8
1311362c9a
1492094c0
1560a5115
hex41ad430

68867120 has 80 divisors (see below), whose sum is σ = 188940288. Its totient is φ = 22844160.

The previous prime is 68867107. The next prime is 68867143. The reversal of 68867120 is 2176886.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15377 + ... + 19343.

Almost surely, 268867120 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 68867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94470144).

68867120 is an abundant number, since it is smaller than the sum of its proper divisors (120073168).

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

68867120 is a wasteful number, since it uses less digits than its factorization.

68867120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 68867120 is about 8298.6215722854. The cubic root of 68867120 is about 409.8931309804.

The spelling of 68867120 in words is "sixty-eight million, eight hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 3967 4340 7934 8680 15868 17360 19835 27769 31736 39670 55538 63472 79340 111076 122977 138845 158680 222152 245954 277690 317360 444304 491908 555380 614885 860839 983816 1110760 1229770 1721678 1967632 2221520 2459540 3443356 4304195 4919080 6886712 8608390 9838160 13773424 17216780 34433560 68867120