Search a number
-
+
23971968 = 273220809
BaseRepresentation
bin101101101110…
…0100010000000
31200002220100200
41123130202000
522114100333
62213445200
7410521056
oct133344200
950086320
1023971968
1112593549
128040800
134c742c7
1432801d6
152187c13
hex16dc880

23971968 has 48 divisors (see below), whose sum is σ = 68985150. Its totient is φ = 7990272.

The previous prime is 23971931. The next prime is 23971979. The reversal of 23971968 is 86917932.

It can be written as a sum of positive squares in only one way, i.e., 22353984 + 1617984 = 4728^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9253 + ... + 11556.

Almost surely, 223971968 is an apocalyptic number.

It is an amenable number.

23971968 is an abundant number, since it is smaller than the sum of its proper divisors (45013182).

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

23971968 is a wasteful number, since it uses less digits than its factorization.

23971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20829 (or 20814 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 23971968 is about 4896.1176456454. The cubic root of 23971968 is about 288.3375671432.

The spelling of 23971968 in words is "twenty-three million, nine hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 20809 41618 62427 83236 124854 166472 187281 249708 332944 374562 499416 665888 749124 998832 1331776 1498248 1997664 2663552 2996496 3995328 5992992 7990656 11985984 23971968