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23980560 = 2435163613
BaseRepresentation
bin101101101111…
…0101000010000
31200010100010220
41123132220100
522114334220
62213553040
7410555112
oct133365020
950110126
1023980560
1112599a4a
128045780
134c781a6
1432833b2
15218a540
hex16dea10

23980560 has 80 divisors (see below), whose sum is σ = 74917824. Its totient is φ = 6345216.

The previous prime is 23980549. The next prime is 23980643. The reversal of 23980560 is 6508932.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 38814 + ... + 39426.

Almost surely, 223980560 is an apocalyptic number.

23980560 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 23980560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37458912).

23980560 is an abundant number, since it is smaller than the sum of its proper divisors (50937264).

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

23980560 is a wasteful number, since it uses less digits than its factorization.

23980560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 23980560 is about 4896.9949969343. The cubic root of 23980560 is about 288.3720115472.

The spelling of 23980560 in words is "twenty-three million, nine hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 613 652 815 978 1226 1304 1630 1839 1956 2445 2452 2608 3065 3260 3678 3912 4890 4904 6130 6520 7356 7824 9195 9780 9808 12260 13040 14712 18390 19560 24520 29424 36780 39120 49040 73560 99919 147120 199838 299757 399676 499595 599514 799352 999190 1199028 1498785 1598704 1998380 2398056 2997570 3996760 4796112 5995140 7993520 11990280 23980560