Search a number
-
+
23814540 = 2233544101
BaseRepresentation
bin101101011011…
…0000110001100
31122210220102000
41122312012030
522044031130
62210232300
7406264101
oct132660614
948726360
1023814540
1112496242
127b85690
134c1a759
14323caa8
152156260
hex16b618c

23814540 has 48 divisors (see below), whose sum is σ = 74091360. Its totient is φ = 6350400.

The previous prime is 23814523. The next prime is 23814551. The reversal of 23814540 is 4541832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21511 + ... + 22590.

It is an arithmetic number, because the mean of its divisors is an integer number (1543570).

Almost surely, 223814540 is an apocalyptic number.

23814540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23814540 is an abundant number, since it is smaller than the sum of its proper divisors (50276820).

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

23814540 is a wasteful number, since it uses less digits than its factorization.

23814540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44119 (or 44111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 23814540 is about 4880.0143442412. The cubic root of 23814540 is about 287.7049930577.

The spelling of 23814540 in words is "twenty-three million, eight hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 44101 88202 132303 176404 220505 264606 396909 441010 529212 661515 793818 882020 1190727 1323030 1587636 1984545 2381454 2646060 3969090 4762908 5953635 7938180 11907270 23814540