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296792080 = 24513285377
BaseRepresentation
bin10001101100001…
…011000000010000
3202200110121012021
4101230023000100
51101434321310
645241141224
710232456014
oct2154130020
9680417167
10296792080
11142593312
128348a814
1349646920
142b5ba544
151b0c85da
hex11b0b010

296792080 has 40 divisors (see below), whose sum is σ = 743124312. Its totient is φ = 109584384.

The previous prime is 296792051. The next prime is 296792087. The reversal of 296792080 is 80297692.

It is a happy number.

296792080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 281299984 = 3936^2 + 16772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (296792087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141649 + ... + 143728.

Almost surely, 2296792080 is an apocalyptic number.

296792080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

296792080 is an abundant number, since it is smaller than the sum of its proper divisors (446332232).

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

296792080 is a wasteful number, since it uses less digits than its factorization.

296792080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285403 (or 285397 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 296792080 is about 17227.6545124402. The cubic root of 296792080 is about 667.0382972420.

The spelling of 296792080 in words is "two hundred ninety-six million, seven hundred ninety-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 285377 570754 1141508 1426885 2283016 2853770 3709901 4566032 5707540 7419802 11415080 14839604 18549505 22830160 29679208 37099010 59358416 74198020 148396040 296792080