Search a number
-
+
253690112 = 2813312459
BaseRepresentation
bin11110001111100…
…00000100000000
3122200100210102002
433013300010000
51004421040422
641101243132
76200221214
oct1707600400
9580323362
10253690112
11120224155
1270b634a8
13407351c0
142599a944
1517412692
hexf1f0100

253690112 has 72 divisors (see below), whose sum is σ = 563162880. Its totient is φ = 113264640.

The previous prime is 253690091. The next prime is 253690121. The reversal of 253690112 is 211096352.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101939 + ... + 104397.

Almost surely, 2253690112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281581440).

253690112 is an abundant number, since it is smaller than the sum of its proper divisors (309472768).

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

253690112 is a wasteful number, since it uses less digits than its factorization.

253690112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 253690112 is about 15927.6524321697. The cubic root of 253690112 is about 633.0448986385.

The spelling of 253690112 in words is "two hundred fifty-three million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1612 1664 1984 2459 3224 3328 3968 4918 6448 7936 9836 12896 19672 25792 31967 39344 51584 63934 76229 78688 103168 127868 152458 157376 255736 304916 314752 511472 609832 629504 990977 1022944 1219664 1981954 2045888 2439328 3963908 4091776 4878656 7927816 8183552 9757312 15855632 19514624 31711264 63422528 126845056 253690112