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23873780 = 22572171433
BaseRepresentation
bin101101100010…
…0100011110100
31122220220200002
41123010203310
522102430110
62211410432
7406631600
oct133044364
948826602
1023873780
11125267a7
127bb3a18
134c3b6c8
143256500
152168aa5
hex16c48f4

23873780 has 72 divisors (see below), whose sum is σ = 61793928. Its totient is φ = 7698432.

The previous prime is 23873771. The next prime is 23873809. The reversal of 23873780 is 8737832.

It can be written as a sum of positive squares in 4 ways, for example, as 8726116 + 15147664 = 2954^2 + 3892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15944 + ... + 17376.

It is an arithmetic number, because the mean of its divisors is an integer number (858249).

Almost surely, 223873780 is an apocalyptic number.

23873780 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 23873780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30896964).

23873780 is an abundant number, since it is smaller than the sum of its proper divisors (37920148).

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

23873780 is a wasteful number, since it uses less digits than its factorization.

23873780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 23873780 is about 4886.0802285677. The cubic root of 23873780 is about 287.9433562726.

The spelling of 23873780 in words is "twenty-three million, eight hundred seventy-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1433 1666 2380 2866 3332 4165 5732 7165 8330 10031 14330 16660 20062 24361 28660 40124 48722 50155 70217 97444 100310 121805 140434 170527 200620 243610 280868 341054 351085 487220 682108 702170 852635 1193689 1404340 1705270 2387378 3410540 4774756 5968445 11936890 23873780