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296468520 = 23353497079
BaseRepresentation
bin10001101010111…
…100000000101000
3202122212011100120
4101222330000220
51101343443040
645230203240
710226640465
oct2152740050
9678764316
10296468520
11142392207
1283353520
134956257a
142b53466c
151b0627d0
hex11abc028

296468520 has 64 divisors (see below), whose sum is σ = 892080000. Its totient is φ = 78820608.

The previous prime is 296468509. The next prime is 296468521. The reversal of 296468520 is 25864692.

It is not an unprimeable number, because it can be changed into a prime (296468521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38341 + ... + 45419.

It is an arithmetic number, because the mean of its divisors is an integer number (13938750).

Almost surely, 2296468520 is an apocalyptic number.

296468520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446040000).

296468520 is an abundant number, since it is smaller than the sum of its proper divisors (595611480).

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

296468520 is a wasteful number, since it uses less digits than its factorization.

296468520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 296468520 is about 17218.2612362573. The cubic root of 296468520 is about 666.7958094261.

The spelling of 296468520 in words is "two hundred ninety-six million, four hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 349 698 1047 1396 1745 2094 2792 3490 4188 5235 6980 7079 8376 10470 13960 14158 20940 21237 28316 35395 41880 42474 56632 70790 84948 106185 141580 169896 212370 283160 424740 849480 2470571 4941142 7411713 9882284 12352855 14823426 19764568 24705710 29646852 37058565 49411420 59293704 74117130 98822840 148234260 296468520