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168854064 = 243171910891
BaseRepresentation
bin10100001000010…
…00001000110000
3102202201200020020
422010020020300
5321211312224
624431043440
74120143621
oct1204101060
9382650206
10168854064
118734a615
1248670580
1328ca0862
14185d5a48
15ec55c79
hexa108230

168854064 has 80 divisors (see below), whose sum is σ = 486218880. Its totient is φ = 50181120.

The previous prime is 168854053. The next prime is 168854069. The reversal of 168854064 is 460458861.

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 not an unprimeable number, because it can be changed into a prime (168854069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10059 + ... + 20949.

It is an arithmetic number, because the mean of its divisors is an integer number (6077736).

Almost surely, 2168854064 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 168854064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243109440).

168854064 is an abundant number, since it is smaller than the sum of its proper divisors (317364816).

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

168854064 is a wasteful number, since it uses less digits than its factorization.

168854064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 168854064 is about 12994.3858646725. The cubic root of 168854064 is about 552.7182940627.

The spelling of 168854064 in words is "one hundred sixty-eight million, eight hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 10891 15504 21782 32673 43564 65346 87128 130692 174256 185147 206929 261384 370294 413858 522768 555441 620787 740588 827716 1110882 1241574 1481176 1655432 2221764 2483148 2962352 3310864 3517793 4443528 4966296 7035586 8887056 9932592 10553379 14071172 21106758 28142344 42213516 56284688 84427032 168854064