Search a number
-
+
23946960 = 2435113883
BaseRepresentation
bin101101101011…
…0011011010000
31200001122001110
41123112123100
522112300320
62213133320
7410355132
oct133263320
950048043
1023946960
1112576784
12802a240
134c65acb
143275052
1521805e0
hex16d66d0

23946960 has 80 divisors (see below), whose sum is σ = 74977344. Its totient is φ = 6322176.

The previous prime is 23946959. The next prime is 23946961. The reversal of 23946960 is 6964932.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23946959) and next prime (23946961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23946961) by changing a digit.

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, 26679 + ... + 27561.

Almost surely, 223946960 is an apocalyptic number.

23946960 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 23946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37488672).

23946960 is an abundant number, since it is smaller than the sum of its proper divisors (51030384).

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

23946960 is a wasteful number, since it uses less digits than its factorization.

23946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 23946960 is about 4893.5631190371. The cubic root of 23946960 is about 288.2372658970.

The spelling of 23946960 in words is "twenty-three million, nine hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 883 904 1130 1356 1695 1766 1808 2260 2649 2712 3390 3532 4415 4520 5298 5424 6780 7064 8830 9040 10596 13245 13560 14128 17660 21192 26490 27120 35320 42384 52980 70640 99779 105960 199558 211920 299337 399116 498895 598674 798232 997790 1197348 1496685 1596464 1995580 2394696 2993370 3991160 4789392 5986740 7982320 11973480 23946960