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253928970 = 232523612011
BaseRepresentation
bin11110010001010…
…10011000001010
3122200210221001200
433020222120022
51010001211340
641110325030
76202234461
oct1710523012
9580727050
10253928970
11120377659
1271059776
13407b9b39
1425a1d9d8
151745d330
hexf22a60a

253928970 has 96 divisors (see below), whose sum is σ = 700562304. Its totient is φ = 63676800.

The previous prime is 253928963. The next prime is 253929019. The reversal of 253928970 is 79829352.

253928970 is a `hidden beast` number, since 2 + 539 + 28 + 97 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125265 + ... + 127275.

It is an arithmetic number, because the mean of its divisors is an integer number (7297524).

Almost surely, 2253928970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253928970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350281152).

253928970 is an abundant number, since it is smaller than the sum of its proper divisors (446633334).

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

253928970 is a wasteful number, since it uses less digits than its factorization.

253928970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 253928970 is about 15935.1488854042. The cubic root of 253928970 is about 633.2435141938.

The spelling of 253928970 in words is "two hundred fifty-three million, nine hundred twenty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 61 69 90 115 122 138 183 207 230 305 345 366 414 549 610 690 915 1035 1098 1403 1830 2011 2070 2745 2806 4022 4209 5490 6033 7015 8418 10055 12066 12627 14030 18099 20110 21045 25254 30165 36198 42090 46253 60330 63135 90495 92506 122671 126270 138759 180990 231265 245342 277518 368013 416277 462530 613355 693795 736026 832554 1104039 1226710 1387590 1840065 2081385 2208078 2821433 3680130 4162770 5520195 5642866 8464299 11040390 14107165 16928598 25392897 28214330 42321495 50785794 84642990 126964485 253928970