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296531920 = 2453706649
BaseRepresentation
bin10001101011001…
…011011111010000
3202122222101022201
4101223023133100
51101403010140
645231412544
710230323356
oct2153133720
9678871281
10296531920
11142425903
1283384154
1349585399
142b54d7d6
151b07649a
hex11acb7d0

296531920 has 20 divisors (see below), whose sum is σ = 689436900. Its totient is φ = 118612736.

The previous prime is 296531909. The next prime is 296531923. The reversal of 296531920 is 29135692.

It can be written as a sum of positive squares in 2 ways, for example, as 233233984 + 63297936 = 15272^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 296531920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296531923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1853245 + ... + 1853404.

It is an arithmetic number, because the mean of its divisors is an integer number (34471845).

Almost surely, 2296531920 is an apocalyptic number.

296531920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

296531920 is an abundant number, since it is smaller than the sum of its proper divisors (392904980).

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

296531920 is a wasteful number, since it uses less digits than its factorization.

296531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706662 (or 3706656 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 296531920 is about 17220.1022064330. The cubic root of 296531920 is about 666.8433376214.

The spelling of 296531920 in words is "two hundred ninety-six million, five hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3706649 7413298 14826596 18533245 29653192 37066490 59306384 74132980 148265960 296531920