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252093140 = 225131951031
BaseRepresentation
bin11110000011010…
…10001011010100
3122120100122202222
433001222023110
51004013440030
641003121512
76150520265
oct1701521324
9576318688
10252093140
1111a333342
1270513298
13402c6350
14256a296c
15171e93e5
hexf06a2d4

252093140 has 48 divisors (see below), whose sum is σ = 600136320. Its totient is φ = 88179840.

The previous prime is 252093139. The next prime is 252093151. The reversal of 252093140 is 41390252.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20576 + ... + 30455.

It is an arithmetic number, because the mean of its divisors is an integer number (12502840).

Almost surely, 2252093140 is an apocalyptic number.

252093140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252093140 is an abundant number, since it is smaller than the sum of its proper divisors (348043180).

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

252093140 is a wasteful number, since it uses less digits than its factorization.

252093140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51072 (or 51070 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 252093140 is about 15877.4412296188. The cubic root of 252093140 is about 631.7137683990.

The spelling of 252093140 in words is "two hundred fifty-two million, ninety-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 51031 102062 204124 255155 510310 663403 969589 1020620 1326806 1939178 2653612 3317015 3878356 4847945 6634030 9695890 12604657 13268060 19391780 25209314 50418628 63023285 126046570 252093140