Search a number
-
+
23126972 = 2211271673
BaseRepresentation
bin101100000111…
…0001110111100
31121111222020112
41120032032330
521410030342
62143405152
7400401401
oct130161674
947458215
1023126972
1112066700
1278b37b8
134a397cb
1431002a8
15206c682
hex160e3bc

23126972 has 36 divisors (see below), whose sum is σ = 45179568. Its totient is φ = 10348800.

The previous prime is 23126969. The next prime is 23126977. The reversal of 23126972 is 27962132.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23126977) 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 11 ways as a sum of consecutive naturals, for example, 34028 + ... + 34700.

It is an arithmetic number, because the mean of its divisors is an integer number (1254988).

Almost surely, 223126972 is an apocalyptic number.

23126972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23126972 is a deficient number, since it is larger than the sum of its proper divisors (22052596).

23126972 is a wasteful number, since it uses less digits than its factorization.

23126972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 23126972 is about 4809.0510498434. The cubic root of 23126972 is about 284.9090589090.

The spelling of 23126972 in words is "twenty-three million, one hundred twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 44 71 121 142 242 284 484 673 781 1346 1562 2692 3124 7403 8591 14806 17182 29612 34364 47783 81433 95566 162866 191132 325732 525613 1051226 2102452 5781743 11563486 23126972