Search a number
-
+
270113168 = 241331163257
BaseRepresentation
bin10000000110011…
…001100110010000
3200211021011121102
4100012121212100
51023122110133
642445243532
76456631643
oct2006314620
9624234542
10270113168
11129521026
12765635a8
1343c654a0
1427c33a5a
1518aa87e8
hex10199990

270113168 has 80 divisors (see below), whose sum is σ = 587629056. Its totient is φ = 119439360.

The previous prime is 270113161. The next prime is 270113171. The reversal of 270113168 is 861311072.

It is a super-2 number, since 2×2701131682 = 145922247053992448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 270113168.

It is not an unprimeable number, because it can be changed into a prime (270113161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050896 + ... + 1051152.

Almost surely, 2270113168 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 270113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293814528).

270113168 is an abundant number, since it is smaller than the sum of its proper divisors (317515888).

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

270113168 is a wasteful number, since it uses less digits than its factorization.

270113168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 270113168 is about 16435.1199569702. The cubic root of 270113168 is about 646.4206955314.

The spelling of 270113168 in words is "two hundred seventy million, one hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 163 208 248 257 326 403 496 514 652 806 1028 1304 1612 2056 2119 2608 3224 3341 4112 4238 5053 6448 6682 7967 8476 10106 13364 15934 16952 20212 26728 31868 33904 40424 41891 53456 63736 65689 80848 83782 103571 127472 131378 167564 207142 262756 335128 414284 525512 544583 670256 828568 1051024 1089166 1298621 1657136 2178332 2597242 4356664 5194484 8713328 10388968 16882073 20777936 33764146 67528292 135056584 270113168