Search a number
-
+
23721630 = 23517193241
BaseRepresentation
bin101101001111…
…1011010011110
31122122011221220
41122133122132
522033043010
62204234210
7405426162
oct132373236
948564856
1023721630
1112432459
127b3b966
134bb738a
143216ca2
152138970
hex169f69e

23721630 has 64 divisors (see below), whose sum is σ = 60844608. Its totient is φ = 5898240.

The previous prime is 23721629. The next prime is 23721637. The reversal of 23721630 is 3612732.

It is a self number, because there is not a number n which added to its sum of digits gives 23721630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23721637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98310 + ... + 98550.

It is an arithmetic number, because the mean of its divisors is an integer number (950697).

Almost surely, 223721630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23721630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30422304).

23721630 is an abundant number, since it is smaller than the sum of its proper divisors (37122978).

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

23721630 is a wasteful number, since it uses less digits than its factorization.

23721630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 23721630 is about 4870.4856020730. The cubic root of 23721630 is about 287.3303548636.

The spelling of 23721630 in words is "twenty-three million, seven hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 193 241 255 386 482 510 579 723 965 1158 1205 1446 1930 2410 2895 3281 3615 4097 5790 6562 7230 8194 9843 12291 16405 19686 20485 24582 32810 40970 46513 49215 61455 93026 98430 122910 139539 232565 279078 465130 697695 790721 1395390 1581442 2372163 3953605 4744326 7907210 11860815 23721630