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253302840 = 233257100517
BaseRepresentation
bin11110001100100…
…01100000111000
3122122122010011200
433012101200320
51004321142330
641045054200
76164016150
oct1706214070
9578563150
10253302840
1111aa8a19a
12709b7360
134062ab4b
14258d9760
1517387a60
hexf191838

253302840 has 96 divisors (see below), whose sum is σ = 940848480. Its totient is φ = 57897216.

The previous prime is 253302821. The next prime is 253302859. The reversal of 253302840 is 48203352.

It is an interprime number because it is at equal distance from previous prime (253302821) and next prime (253302859).

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, 47739 + ... + 52778.

It is an arithmetic number, because the mean of its divisors is an integer number (9800505).

Almost surely, 2253302840 is an apocalyptic number.

253302840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253302840 is an abundant number, since it is smaller than the sum of its proper divisors (687545640).

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

253302840 is a wasteful number, since it uses less digits than its factorization.

253302840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100541 (or 100534 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253302840 is about 15915.4905673686. The cubic root of 253302840 is about 632.7226085575.

The spelling of 253302840 in words is "two hundred fifty-three million, three hundred two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 100517 201034 301551 402068 502585 603102 703619 804136 904653 1005170 1206204 1407238 1507755 1809306 2010340 2110857 2412408 2814476 3015510 3518095 3618612 4020680 4221714 4523265 5628952 6031020 6332571 7036190 7237224 8443428 9046530 10554285 12062040 12665142 14072380 16886856 18093060 21108570 25330284 28144760 31662855 36186120 42217140 50660568 63325710 84434280 126651420 253302840