Search a number
-
+
23990080 = 265611229
BaseRepresentation
bin101101110000…
…0111101000000
31200010211012111
41123200331000
522120140310
62214105104
7410624632
oct133407500
950124174
1023990080
11125a6114
12804b194
134c7c61a
143286a52
15218d28a
hex16e0f40

23990080 has 56 divisors (see below), whose sum is σ = 58110120. Its totient is φ = 9431040.

The previous prime is 23990059. The next prime is 23990089. The reversal of 23990080 is 8009932.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 21086464 = 1704^2 + 4592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23990089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18906 + ... + 20134.

Almost surely, 223990080 is an apocalyptic number.

23990080 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 23990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29055060).

23990080 is an abundant number, since it is smaller than the sum of its proper divisors (34120040).

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

23990080 is a wasteful number, since it uses less digits than its factorization.

23990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 23990080 is about 4897.9669251640. The cubic root of 23990080 is about 288.4101665965.

The spelling of 23990080 in words is "twenty-three million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1229 1952 2440 2458 3904 4880 4916 6145 9760 9832 12290 19520 19664 24580 39328 49160 74969 78656 98320 149938 196640 299876 374845 393280 599752 749690 1199504 1499380 2399008 2998760 4798016 5997520 11995040 23990080