Search a number
-
+
23976960 = 210357223
BaseRepresentation
bin101101101110…
…1110000000000
31200010011012120
41123131300000
522114230320
62213524240
7410541450
oct133356000
950104176
1023976960
1112597277
128043680
134c76667
143281d60
152189440
hex16ddc00

23976960 has 176 divisors, whose sum is σ = 88037376. Its totient is φ = 5455872.

The previous prime is 23976947. The next prime is 23976973. The reversal of 23976960 is 6967932.

It is an interprime number because it is at equal distance from previous prime (23976947) and next prime (23976973).

It is a super-2 number, since 2×239769602 = 1149789221683200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107409 + ... + 107631.

Almost surely, 223976960 is an apocalyptic number.

23976960 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 23976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44018688).

23976960 is an abundant number, since it is smaller than the sum of its proper divisors (64060416).

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

23976960 is a wasteful number, since it uses less digits than its factorization.

23976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 23976960 is about 4896.6274107798. The cubic root of 23976960 is about 288.3575805359.

Subtracting from 23976960 its reverse (6967932), we obtain a triangular number (17009028 = T5832).

The spelling of 23976960 in words is "twenty-three million, nine hundred seventy-six thousand, nine hundred sixty".