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270113272 = 2311131721943
BaseRepresentation
bin10000000110011…
…001100111111000
3200211021011202021
4100012121213320
51023122111042
642445244224
76456632152
oct2006314770
9624234667
10270113272
11129521110
1276563674
1343c65550
1427c33ad2
1518aa8867
hex101999f8

270113272 has 192 divisors, whose sum is σ = 680803200. Its totient is φ = 98703360.

The previous prime is 270113257. The next prime is 270113273. The reversal of 270113272 is 272311072.

270113272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2701132722 = 145922359421091968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270113273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6281683 + ... + 6281725.

It is an arithmetic number, because the mean of its divisors is an integer number (3545850).

Almost surely, 2270113272 is an apocalyptic number.

270113272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270113272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340401600).

270113272 is an abundant number, since it is smaller than the sum of its proper divisors (410689928).

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

270113272 is a wasteful number, since it uses less digits than its factorization.

270113272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 270113272 is about 16435.1231209261. The cubic root of 270113272 is about 646.4207784938.

The spelling of 270113272 in words is "two hundred seventy million, one hundred thirteen thousand, two hundred seventy-two".