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252000090 = 23252800001
BaseRepresentation
bin11110000010100…
…11011101011010
3122120011221010200
433001103131122
51004003000330
641001123030
76146652066
oct1701233532
9576157120
10252000090
1111a27a441
1270489476
1340292ba4
142567aaa6
15171cba60
hexf05375a

252000090 has 24 divisors (see below), whose sum is σ = 655200468. Its totient is φ = 67200000.

The previous prime is 252000079. The next prime is 252000103. The reversal of 252000090 is 90000252.

252000090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 251952129 + 47961 = 15873^2 + 219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1399911 + ... + 1400090.

Almost surely, 2252000090 is an apocalyptic number.

252000090 is an abundant number, since it is smaller than the sum of its proper divisors (403200378).

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

252000090 is a wasteful number, since it uses less digits than its factorization.

252000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800014 (or 2800011 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 252000090 is about 15874.5107011208. The cubic root of 252000090 is about 631.6360349604.

The spelling of 252000090 in words is "two hundred fifty-two million, ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2800001 5600002 8400003 14000005 16800006 25200009 28000010 42000015 50400018 84000030 126000045 252000090