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23820948 = 22322922817
BaseRepresentation
bin101101011011…
…1101010010100
31122211020012100
41122313222110
522044232243
62210322100
7406321554
oct132675224
948736170
1023820948
11124a0038
127b89330
134c20648
143241164
1521580d3
hex16b7a94

23820948 has 36 divisors (see below), whose sum is σ = 62293140. Its totient is φ = 7666176.

The previous prime is 23820943. The next prime is 23820967. The reversal of 23820948 is 84902832.

It can be written as a sum of positive squares in 2 ways, for example, as 20088324 + 3732624 = 4482^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23820941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10365 + ... + 12452.

It is an arithmetic number, because the mean of its divisors is an integer number (1730365).

Almost surely, 223820948 is an apocalyptic number.

It is an amenable number.

23820948 is an abundant number, since it is smaller than the sum of its proper divisors (38472192).

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

23820948 is a wasteful number, since it uses less digits than its factorization.

23820948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22856 (or 22851 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23820948 is about 4880.6708555280. The cubic root of 23820948 is about 287.7307958972.

The spelling of 23820948 in words is "twenty-three million, eight hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 22817 45634 68451 91268 136902 205353 273804 410706 661693 821412 1323386 1985079 2646772 3970158 5955237 7940316 11910474 23820948