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253253120 = 29598927
BaseRepresentation
bin11110001100001…
…01011000000000
3122122112120222012
433012011120000
51004313044440
641044032052
76163421201
oct1706053000
9578476865
10253253120
1111aa558aa
1270992628
1340611323
14258c55a8
1517377e65
hexf185600

253253120 has 40 divisors (see below), whose sum is σ = 607220064. Its totient is φ = 101300224.

The previous prime is 253253093. The next prime is 253253137. The reversal of 253253120 is 21352352.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46904 + ... + 52023.

Almost surely, 2253253120 is an apocalyptic number.

253253120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253253120 is an abundant number, since it is smaller than the sum of its proper divisors (353966944).

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

253253120 is an frugal number, since it uses more digits than its factorization.

253253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98950 (or 98934 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 253253120 is about 15913.9284904765. The cubic root of 253253120 is about 632.6812074864.

The spelling of 253253120 in words is "two hundred fifty-three million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 98927 197854 395708 494635 791416 989270 1582832 1978540 3165664 3957080 6331328 7914160 12662656 15828320 25325312 31656640 50650624 63313280 126626560 253253120