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253253560 = 23572157823
BaseRepresentation
bin11110001100001…
…01011110111000
3122122112121120111
433012011132320
51004313103220
641044034104
76163422400
oct1706053670
9578477514
10253253560
1111aa5616a
1270992934
13406115a1
14258c5800
151737815a
hexf1857b8

253253560 has 96 divisors (see below), whose sum is σ = 667884960. Its totient is φ = 86171904.

The previous prime is 253253537. The next prime is 253253591. The reversal of 253253560 is 65352352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307309 + ... + 308131.

It is an arithmetic number, because the mean of its divisors is an integer number (6957135).

Almost surely, 2253253560 is an apocalyptic number.

253253560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253253560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333942480).

253253560 is an abundant number, since it is smaller than the sum of its proper divisors (414631400).

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

253253560 is a wasteful number, since it uses less digits than its factorization.

253253560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 253253560 is about 15913.9423148383. The cubic root of 253253560 is about 632.6815738913.

The spelling of 253253560 in words is "two hundred fifty-three million, two hundred fifty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 157 196 245 280 314 392 490 628 785 823 980 1099 1256 1570 1646 1960 2198 3140 3292 4115 4396 5495 5761 6280 6584 7693 8230 8792 10990 11522 15386 16460 21980 23044 28805 30772 32920 38465 40327 43960 46088 57610 61544 76930 80654 115220 129211 153860 161308 201635 230440 258422 307720 322616 403270 516844 646055 806540 904477 1033688 1292110 1613080 1808954 2584220 3617908 4522385 5168440 6331339 7235816 9044770 12662678 18089540 25325356 31656695 36179080 50650712 63313390 126626780 253253560