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296120928 = 25319315237
BaseRepresentation
bin10001101001100…
…111001001100000
3202122012111112210
4101221213021200
51101301332203
645214522120
710223662215
oct2151471140
9678174483
10296120928
11142175044
1283206340
13494702ac
142b483b0c
151aee4803
hex11a67260

296120928 has 96 divisors (see below), whose sum is σ = 844784640. Its totient is φ = 90478080.

The previous prime is 296120927. The next prime is 296120963. The reversal of 296120928 is 829021692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296120927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53926 + ... + 59162.

It is an arithmetic number, because the mean of its divisors is an integer number (8799840).

Almost surely, 2296120928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296120928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422392320).

296120928 is an abundant number, since it is smaller than the sum of its proper divisors (548663712).

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

296120928 is a wasteful number, since it uses less digits than its factorization.

296120928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 296120928 is about 17208.1645738295. The cubic root of 296120928 is about 666.5351144872.

The spelling of 296120928 in words is "two hundred ninety-six million, one hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 5237 7068 9424 10474 14136 15711 18848 20948 28272 31422 41896 56544 62844 83792 99503 125688 162347 167584 199006 251376 298509 324694 398012 487041 502752 597018 649388 796024 974082 1194036 1298776 1592048 1948164 2388072 2597552 3084593 3184096 3896328 4776144 5195104 6169186 7792656 9253779 9552288 12338372 15585312 18507558 24676744 37015116 49353488 74030232 98706976 148060464 296120928