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23970816 = 21034172
BaseRepresentation
bin101101101110…
…0010000000000
31200002211210000
41123130100000
522114031231
62213440000
7410514522
oct133342000
950084700
1023970816
11125926a1
128040000
134c7391c
14327da12
1521876e6
hex16dc400

23970816 has 165 divisors, whose sum is σ = 76039909. Its totient is φ = 7520256.

The previous prime is 23970721. The next prime is 23970827. The reversal of 23970816 is 61807932.

Multipling 23970816 by its sum of digits (36), we get a square (862949376 = 293762).

23970816 divided by its sum of digits (36) gives a square (665856 = 8162).

The square root of 23970816 is 4896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 5308416 = 4320^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1410040 + ... + 1410056.

Almost surely, 223970816 is an apocalyptic number.

23970816 is the 4896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23970816

23970816 is an abundant number, since it is smaller than the sum of its proper divisors (52069093).

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

23970816 is an equidigital number, since it uses as much as digits as its factorization.

23970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 23970816 is about 288.3329482734.

The spelling of 23970816 in words is "twenty-three million, nine hundred seventy thousand, eight hundred sixteen".