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252153270 = 23351039067
BaseRepresentation
bin11110000011110…
…00110110110110
3122120110201021000
433001320312312
51004022401040
641004304130
76151160505
oct1701706666
9576421230
10252153270
1111a374536
1270542046
1340317825
14256ba83c
151720c130
hexf078db6

252153270 has 64 divisors (see below), whose sum is σ = 679011840. Its totient is φ = 66580704.

The previous prime is 252153269. The next prime is 252153281. The reversal of 252153270 is 72351252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 23277 + ... + 32343.

It is an arithmetic number, because the mean of its divisors is an integer number (10609560).

Almost surely, 2252153270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252153270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339505920).

252153270 is an abundant number, since it is smaller than the sum of its proper divisors (426858570).

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

252153270 is a wasteful number, since it uses less digits than its factorization.

252153270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252153270 is about 15879.3346837958. The cubic root of 252153270 is about 631.7639904838.

The spelling of 252153270 in words is "two hundred fifty-two million, one hundred fifty-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 4635 5562 9067 9270 13905 18134 27201 27810 45335 54402 81603 90670 136005 163206 244809 272010 408015 489618 816030 933901 1224045 1867802 2448090 2801703 4669505 5603406 8405109 9339010 14008515 16810218 25215327 28017030 42025545 50430654 84051090 126076635 252153270