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253050840 = 233257100417
BaseRepresentation
bin11110001010100…
…11111111011000
3122122011022111100
433011103333120
51004240111330
641035431400
76161616360
oct1705237730
9578138440
10253050840
1111a927929
12708b5560
1340570233
14258719a0
1517338060
hexf153fd8

253050840 has 96 divisors (see below), whose sum is σ = 939912480. Its totient is φ = 57839616.

The previous prime is 253050821. The next prime is 253050841. The reversal of 253050840 is 48050352.

253050840 is a `hidden beast` number, since 2 + 530 + 50 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253050841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47689 + ... + 52728.

It is an arithmetic number, because the mean of its divisors is an integer number (9790755).

Almost surely, 2253050840 is an apocalyptic number.

253050840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253050840 is an abundant number, since it is smaller than the sum of its proper divisors (686861640).

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

253050840 is a wasteful number, since it uses less digits than its factorization.

253050840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100441 (or 100434 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 253050840 is about 15907.5717820163. The cubic root of 253050840 is about 632.5127161853.

The spelling of 253050840 in words is "two hundred fifty-three million, fifty 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 100417 200834 301251 401668 502085 602502 702919 803336 903753 1004170 1205004 1405838 1506255 1807506 2008340 2108757 2410008 2811676 3012510 3514595 3615012 4016680 4217514 4518765 5623352 6025020 6326271 7029190 7230024 8435028 9037530 10543785 12050040 12652542 14058380 16870056 18075060 21087570 25305084 28116760 31631355 36150120 42175140 50610168 63262710 84350280 126525420 253050840