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168430460 = 225114171263
BaseRepresentation
bin10100000101000…
…00101101111100
3102201221011011012
422002200231330
5321104233320
624414014352
74113430622
oct1202405574
9381834135
10168430460
1187090330
12484a73b8
1328b82ac3
1418525512
15ebc04c5
hexa0a0b7c

168430460 has 96 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 58688000.

The previous prime is 168430433. The next prime is 168430477. The reversal of 168430460 is 64034861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640289 + ... + 640551.

It is an arithmetic number, because the mean of its divisors is an integer number (4191264).

Almost surely, 2168430460 is an apocalyptic number.

168430460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168430460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

168430460 is an abundant number, since it is smaller than the sum of its proper divisors (233930884).

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

168430460 is a wasteful number, since it uses less digits than its factorization.

168430460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 168430460 is about 12978.0761286101. The cubic root of 168430460 is about 552.2557057614.

The spelling of 168430460 in words is "one hundred sixty-eight million, four hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 71 82 110 142 164 205 220 263 284 355 410 451 526 710 781 820 902 1052 1315 1420 1562 1804 2255 2630 2893 2911 3124 3905 4510 5260 5786 5822 7810 9020 10783 11572 11644 14465 14555 15620 18673 21566 28930 29110 32021 37346 43132 53915 57860 58220 64042 74692 93365 107830 118613 128084 160105 186730 205403 215660 237226 320210 373460 410806 474452 593065 640420 765593 821612 1027015 1186130 1531186 2054030 2372260 3062372 3827965 4108060 7655930 8421523 15311860 16843046 33686092 42107615 84215230 168430460