Search a number
-
+
23832540 = 22325132403
BaseRepresentation
bin101101011101…
…0011111011100
31122211211002200
41122322133130
522100120130
62210451500
7406400424
oct132723734
948754080
1023832540
11124a8816
127b93b90
134c259c4
143245484
15215b760
hex16ba7dc

23832540 has 36 divisors (see below), whose sum is σ = 72292584. Its totient is φ = 6355296.

The previous prime is 23832533. The next prime is 23832547. The reversal of 23832540 is 4523832.

It is an interprime number because it is at equal distance from previous prime (23832533) and next prime (23832547).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23832547) 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, 66022 + ... + 66381.

Almost surely, 223832540 is an apocalyptic number.

23832540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23832540 is an abundant number, since it is smaller than the sum of its proper divisors (48460044).

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

23832540 is a wasteful number, since it uses less digits than its factorization.

23832540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132418 (or 132413 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23832540 is about 4881.8582527558. The cubic root of 23832540 is about 287.7774611895. Note that the first 3 decimals are identical.

The spelling of 23832540 in words is "twenty-three million, eight hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 132403 264806 397209 529612 662015 794418 1191627 1324030 1588836 1986045 2383254 2648060 3972090 4766508 5958135 7944180 11916270 23832540