Search a number
-
+
23720280 = 2335892221
BaseRepresentation
bin101101001111…
…1000101011000
31122122010002220
41122133011120
522033022110
62204224040
7405422223
oct132370530
948563086
1023720280
1112431441
127b3b020
134bb688c
1432165ba
152138370
hex169f158

23720280 has 64 divisors (see below), whose sum is σ = 71992800. Its totient is φ = 6251520.

The previous prime is 23720273. The next prime is 23720297. The reversal of 23720280 is 8202732.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23720280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9570 + ... + 11790.

Almost surely, 223720280 is an apocalyptic number.

23720280 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 23720280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35996400).

23720280 is an abundant number, since it is smaller than the sum of its proper divisors (48272520).

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

23720280 is a wasteful number, since it uses less digits than its factorization.

23720280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 23720280 is about 4870.3470102242. The cubic root of 23720280 is about 287.3249040952.

The spelling of 23720280 in words is "twenty-three million, seven hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2221 2670 3560 4442 5340 6663 8884 10680 11105 13326 17768 22210 26652 33315 44420 53304 66630 88840 133260 197669 266520 395338 593007 790676 988345 1186014 1581352 1976690 2372028 2965035 3953380 4744056 5930070 7906760 11860140 23720280