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168000252 = 22372000003
BaseRepresentation
bin10100000001101…
…11101011111100
3102201010022000120
422000313223330
5321002002002
624400454540
74106656440
oct1200675374
9381108016
10168000252
1186917092
124831a450
1328a62044
1418452820
15eb37cbc
hexa037afc

168000252 has 24 divisors (see below), whose sum is σ = 448000896. Its totient is φ = 48000048.

The previous prime is 168000251. The next prime is 168000293. The reversal of 168000252 is 252000861.

168000252 is a modest number, since divided by 252 gives 168 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168000251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999918 + ... + 1000085.

It is an arithmetic number, because the mean of its divisors is an integer number (18666704).

Almost surely, 2168000252 is an apocalyptic number.

168000252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168000252 is an abundant number, since it is smaller than the sum of its proper divisors (280000644).

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

168000252 is a wasteful number, since it uses less digits than its factorization.

168000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000017 (or 2000015 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 168000252 is about 12961.4911179231. The cubic root of 168000252 is about 551.7851111685.

The spelling of 168000252 in words is "one hundred sixty-eight million, two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2000003 4000006 6000009 8000012 12000018 14000021 24000036 28000042 42000063 56000084 84000126 168000252