Search a number
-
+
23812480 = 275291283
BaseRepresentation
bin101101011010…
…1100110000000
31122210210120201
41122311212000
522043444410
62210214544
7406255066
oct132654600
948723521
1023812480
111249473a
127b84454
134c19833
14323c036
15215583a
hex16b5980

23812480 has 64 divisors (see below), whose sum is σ = 58935600. Its totient is φ = 9189376.

The previous prime is 23812463. The next prime is 23812483. The reversal of 23812480 is 8421832.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23812483) 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, 17919 + ... + 19201.

Almost surely, 223812480 is an apocalyptic number.

23812480 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 23812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467800).

23812480 is an abundant number, since it is smaller than the sum of its proper divisors (35123120).

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

23812480 is a wasteful number, since it uses less digits than its factorization.

23812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 23812480 is about 4879.8032747233. The cubic root of 23812480 is about 287.6966971542.

The spelling of 23812480 in words is "twenty-three million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1283 1856 2320 2566 3712 4640 5132 6415 9280 10264 12830 18560 20528 25660 37207 41056 51320 74414 82112 102640 148828 164224 186035 205280 297656 372070 410560 595312 744140 821120 1190624 1488280 2381248 2976560 4762496 5953120 11906240 23812480