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23078272 = 27743599
BaseRepresentation
bin101100000001…
…0010110000000
31121102111102211
41120002112000
521402001042
62142351504
7400106410
oct130022600
947374384
1023078272
1112033058
12788b594
134a205a9
1430ca640
15205d017
hex1602580

23078272 has 64 divisors (see below), whose sum is σ = 53856000. Its totient is φ = 9644544.

The previous prime is 23078257. The next prime is 23078273. The reversal of 23078272 is 27287032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23078273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38229 + ... + 38827.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 223078272 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 23078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26928000).

23078272 is an abundant number, since it is smaller than the sum of its proper divisors (30777728).

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

23078272 is an equidigital number, since it uses as much as digits as its factorization.

23078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 23078272 is about 4803.9850124662. The cubic root of 23078272 is about 284.7089343993.

The spelling of 23078272 in words is "twenty-three million, seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 599 602 688 896 1198 1204 1376 2396 2408 2752 4193 4792 4816 5504 8386 9584 9632 16772 19168 19264 25757 33544 38336 38528 51514 67088 76672 103028 134176 180299 206056 268352 360598 412112 536704 721196 824224 1442392 1648448 2884784 3296896 5769568 11539136 23078272