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296480 = 25517109
BaseRepresentation
bin1001000011000100000
3120001200202
41020120200
533441410
610204332
72343242
oct1103040
9501622
10296480
11192828
121236a8
13a4c42
147a092
155cca5
hex48620

296480 has 48 divisors (see below), whose sum is σ = 748440. Its totient is φ = 110592.

The previous prime is 296479. The next prime is 296489. The reversal of 296480 is 84692.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 13456 = 532^2 + 116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2666 + ... + 2774.

2296480 is an apocalyptic number.

296480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 544×545.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374220).

296480 is an abundant number, since it is smaller than the sum of its proper divisors (451960).

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

296480 is a wasteful number, since it uses less digits than its factorization.

296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 296480 is about 544.4997704315. The cubic root of 296480 is about 66.6804415980.

The spelling of 296480 in words is "two hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 109 136 160 170 218 272 340 436 544 545 680 872 1090 1360 1744 1853 2180 2720 3488 3706 4360 7412 8720 9265 14824 17440 18530 29648 37060 59296 74120 148240 296480