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168859968 = 26343113181
BaseRepresentation
bin10100001000010…
…01100101000000
3102202201222022220
422010021211000
5321212004333
624431131040
74120200054
oct1204114500
9382658286
10168859968
1187353aa2
1248673a80
1328ca3454
14185d7c64
15ec578b3
hexa109940

168859968 has 112 divisors (see below), whose sum is σ = 463759296. Its totient is φ = 54190080.

The previous prime is 168859949. The next prime is 168859969. The reversal of 168859968 is 869958861.

It is a super-2 number, since 2×1688599682 = 57027377585922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168859969) 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, 932838 + ... + 933018.

It is an arithmetic number, because the mean of its divisors is an integer number (4140708).

Almost surely, 2168859968 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 168859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231879648).

168859968 is an abundant number, since it is smaller than the sum of its proper divisors (294899328).

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

168859968 is a wasteful number, since it uses less digits than its factorization.

168859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The square root of 168859968 is about 12994.6130377168. The cubic root of 168859968 is about 552.7247359386.

The spelling of 168859968 in words is "one hundred sixty-eight million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 113 129 172 181 192 226 258 339 344 362 452 516 543 678 688 724 904 1032 1086 1356 1376 1448 1808 2064 2172 2712 2752 2896 3616 4128 4344 4859 5424 5792 7232 7783 8256 8688 9718 10848 11584 14577 15566 17376 19436 20453 21696 23349 29154 31132 34752 38872 40906 46698 58308 61359 62264 77744 81812 93396 116616 122718 124528 155488 163624 186792 233232 245436 249056 310976 327248 373584 466464 490872 498112 654496 747168 879479 932928 981744 1308992 1494336 1758958 1963488 2638437 3517916 3926976 5276874 7035832 10553748 14071664 21107496 28143328 42214992 56286656 84429984 168859968