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918135072 = 25323187969
BaseRepresentation
bin110110101110011…
…010000100100000
32100222122002112200
4312232122010200
53340020310242
6231034453200
731516006431
oct6656320440
92328562480
10918135072
11431299518
12217594200
131182a5cba
1489d1b488
155591004c
hex36b9a120

918135072 has 36 divisors (see below), whose sum is σ = 2610947430. Its totient is φ = 306044928.

The previous prime is 918135067. The next prime is 918135109. The reversal of 918135072 is 270531819.

It can be written as a sum of positive squares in only one way, i.e., 862244496 + 55890576 = 29364^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1593697 + ... + 1594272.

Almost surely, 2918135072 is an apocalyptic number.

It is an amenable number.

918135072 is an abundant number, since it is smaller than the sum of its proper divisors (1692812358).

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

918135072 is a wasteful number, since it uses less digits than its factorization.

918135072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187985 (or 3187974 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 918135072 is about 30300.7437532480. The cubic root of 918135072 is about 971.9312048043.

It can be divided in two parts, 9181 and 35072, that added together give a triangular number (44253 = T297).

The spelling of 918135072 in words is "nine hundred eighteen million, one hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3187969 6375938 9563907 12751876 19127814 25503752 28691721 38255628 51007504 57383442 76511256 102015008 114766884 153022512 229533768 306045024 459067536 918135072