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168420672 = 2632741771
BaseRepresentation
bin10100000100111…
…10010101000000
3102201220122201200
422002132111000
5321103430142
624413501200
74113360240
oct1202362500
9381818650
10168420672
1187083a42
12484a1800
1328b7b504
1418521b20
15ebbc64c
hexa09e540

168420672 has 84 divisors (see below), whose sum is σ = 551724576. Its totient is φ = 48119040.

The previous prime is 168420643. The next prime is 168420673. The reversal of 168420672 is 276024861.

168420672 is a `hidden beast` number, since 168 + 420 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168420673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16854 + ... + 24917.

Almost surely, 2168420672 is an apocalyptic number.

168420672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168420672 is an abundant number, since it is smaller than the sum of its proper divisors (383303904).

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

168420672 is a wasteful number, since it uses less digits than its factorization.

168420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41796 (or 41783 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168420672 is about 12977.6990256362. The cubic root of 168420672 is about 552.2450078082.

The spelling of 168420672 in words is "one hundred sixty-eight million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 41771 83542 125313 167084 250626 292397 334168 375939 501252 584794 668336 751878 877191 1002504 1169588 1336672 1503756 1754382 2005008 2339176 2631573 2673344 3007512 3508764 4010016 4678352 5263146 6015024 7017528 8020032 9356704 10526292 12030048 14035056 18713408 21052584 24060096 28070112 42105168 56140224 84210336 168420672