Search a number
-
+
23693742 = 233617193
BaseRepresentation
bin101101001100…
…0100110101110
31122120202201000
41122120212232
522031144432
62203501130
7405251652
oct132304656
948522630
1023693742
1112413506
127b277a6
134ba7787
14320aa62
15213057c
hex16989ae

23693742 has 32 divisors (see below), whose sum is σ = 53523360. Its totient is φ = 7767360.

The previous prime is 23693737. The next prime is 23693753. The reversal of 23693742 is 24739632.

It is a happy number.

It is a super-2 number, since 2×236937422 = 1122786819925128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23693697 and 23693706.

It is a congruent number.

It is an unprimeable number.

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, 303 + ... + 6890.

It is an arithmetic number, because the mean of its divisors is an integer number (1672605).

Almost surely, 223693742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23693742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26761680).

23693742 is an abundant number, since it is smaller than the sum of its proper divisors (29829618).

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

23693742 is a wasteful number, since it uses less digits than its factorization.

23693742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7259 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 23693742 is about 4867.6218012496. The cubic root of 23693742 is about 287.2177120823.

The spelling of 23693742 in words is "twenty-three million, six hundred ninety-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 7193 14386 21579 43158 64737 129474 194211 388422 438773 877546 1316319 2632638 3948957 7897914 11846871 23693742