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253837430 = 257112231303
BaseRepresentation
bin11110010000101…
…00000001110110
3122200122021111022
433020110001312
51004440244210
641104341142
76201403550
oct1710240166
9580567438
10253837430
11120314900
12710147b2
1340787282
14259d84d0
1517441155
hexf214076

253837430 has 96 divisors (see below), whose sum is σ = 599380992. Its totient is φ = 75620160.

The previous prime is 253837417. The next prime is 253837439. The reversal of 253837430 is 34738352.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253837439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194159 + ... + 195461.

It is an arithmetic number, because the mean of its divisors is an integer number (6243552).

Almost surely, 2253837430 is an apocalyptic number.

253837430 is an abundant number, since it is smaller than the sum of its proper divisors (345543562).

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

253837430 is a wasteful number, since it uses less digits than its factorization.

253837430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 253837430 is about 15932.2763596418. The cubic root of 253837430 is about 633.1674114445.

The spelling of 253837430 in words is "two hundred fifty-three million, eight hundred thirty-seven thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 23 35 46 55 70 77 110 115 121 154 161 230 242 253 322 385 506 605 770 805 847 1210 1265 1303 1610 1694 1771 2530 2606 2783 3542 4235 5566 6515 8470 8855 9121 13030 13915 14333 17710 18242 19481 27830 28666 29969 38962 45605 59938 71665 91210 97405 100331 143330 149845 157663 194810 200662 209783 299690 315326 329659 419566 501655 659318 788315 1003310 1048915 1103641 1576630 1648295 2097830 2207282 2307613 3296590 3626249 4615226 5518205 7252498 11036410 11538065 18131245 23076130 25383743 36262490 50767486 126918715 253837430