Search a number
-
+
23947830 = 2325232503
BaseRepresentation
bin101101101011…
…0101000110110
31200001200020200
41123112220312
522112312310
62213141330
7410360514
oct133265066
950050220
1023947830
11125773a5
12802a846
134c6631a
1432754b4
1521809c0
hex16d6a36

23947830 has 72 divisors (see below), whose sum is σ = 65218608. Its totient is φ = 6096288.

The previous prime is 23947829. The next prime is 23947901. The reversal of 23947830 is 3874932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47359 + ... + 47861.

It is an arithmetic number, because the mean of its divisors is an integer number (905814).

Almost surely, 223947830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23947830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32609304).

23947830 is an abundant number, since it is smaller than the sum of its proper divisors (41270778).

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

23947830 is a wasteful number, since it uses less digits than its factorization.

23947830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 23947830 is about 4893.6520105132. The cubic root of 23947830 is about 288.2407564358.

The spelling of 23947830 in words is "twenty-three million, nine hundred forty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 503 529 690 1006 1035 1058 1509 1587 2070 2515 2645 3018 3174 4527 4761 5030 5290 7545 7935 9054 9522 11569 15090 15870 22635 23138 23805 34707 45270 47610 57845 69414 104121 115690 173535 208242 266087 347070 520605 532174 798261 1041210 1330435 1596522 2394783 2660870 3991305 4789566 7982610 11973915 23947830