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23860240 = 2451012953
BaseRepresentation
bin101101100000…
…1010000010000
31122220020002121
41123001100100
522102011430
62211224024
7406544245
oct133012020
948806077
1023860240
1112517608
127ba8014
134c354b1
1432515cc
152164a7a
hex16c1410

23860240 has 40 divisors (see below), whose sum is σ = 56043288. Its totient is φ = 9446400.

The previous prime is 23860171. The next prime is 23860247. The reversal of 23860240 is 4206832.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11916304 + 11943936 = 3452^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×238602402 = 1138622105715200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23860247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6604 + ... + 9556.

Almost surely, 223860240 is an apocalyptic number.

23860240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23860240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28021644).

23860240 is an abundant number, since it is smaller than the sum of its proper divisors (32183048).

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

23860240 is a wasteful number, since it uses less digits than its factorization.

23860240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 23860240 is about 4884.6944633211. The cubic root of 23860240 is about 287.8889103444. Note that the first 3 decimals are identical.

The spelling of 23860240 in words is "twenty-three million, eight hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 2953 4040 5906 8080 11812 14765 23624 29530 47248 59060 118120 236240 298253 596506 1193012 1491265 2386024 2982530 4772048 5965060 11930120 23860240