Search a number
-
+
23741016 = 23313471619
BaseRepresentation
bin101101010010…
…0001001011000
31122200011112220
41122210021120
522034203031
62204504040
7405536535
oct132441130
948604486
1023741016
1112445a82
127b4b020
134bc3150
14321dd8c
15213e596
hex16a4258

23741016 has 64 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7145088.

The previous prime is 23740973. The next prime is 23741033. The reversal of 23741016 is 61014732.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13855 + ... + 15473.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 223741016 is an apocalyptic number.

23741016 is a gapful number since it is divisible by the number (26) 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 23741016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

23741016 is an abundant number, since it is smaller than the sum of its proper divisors (41577384).

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

23741016 is a wasteful number, since it uses less digits than its factorization.

23741016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 23741016 is about 4872.4753462691. The cubic root of 23741016 is about 287.4086051016.

Adding to 23741016 its reverse (61014732), we get a palindrome (84755748).

The spelling of 23741016 in words is "twenty-three million, seven hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1619 1833 2444 3238 3666 4857 4888 6476 7332 9714 12952 14664 19428 21047 38856 42094 63141 76093 84188 126282 152186 168376 228279 252564 304372 456558 505128 608744 913116 989209 1826232 1978418 2967627 3956836 5935254 7913672 11870508 23741016