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296421120 = 28355953
BaseRepresentation
bin10001101010110…
…000011100000000
3202122202202100000
4101222300130000
51101340433440
645225200000
710226352342
oct2152603400
9678682300
10296421120
1114235a636
1283330000
1349546b18
142b521292
151b053730
hex11ab0700

296421120 has 216 divisors, whose sum is σ = 1064686896. Its totient is φ = 78962688.

The previous prime is 296421077. The next prime is 296421121. The reversal of 296421120 is 21124692.

296421120 is a `hidden beast` number, since 2 + 9 + 642 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296421121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310564 + ... + 311516.

It is an arithmetic number, because the mean of its divisors is an integer number (4929106).

Almost surely, 2296421120 is an apocalyptic number.

296421120 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 296421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532343448).

296421120 is an abundant number, since it is smaller than the sum of its proper divisors (768265776).

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

296421120 is an frugal number, since it uses more digits than its factorization.

296421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 296421120 is about 17216.8847356309. The cubic root of 296421120 is about 666.7602713011.

The spelling of 296421120 in words is "two hundred ninety-six million, four hundred twenty-one thousand, one hundred twenty".