Search a number
-
+
23373126 = 2327613041
BaseRepresentation
bin101100100101…
…0010101000110
31121222110220100
41121022111012
521440420001
62152544530
7402445140
oct131122506
947873810
1023373126
1112214637
1279b2146
134ac486a
143165c90
1520ba586
hex164a546

23373126 has 48 divisors (see below), whose sum is σ = 58844448. Its totient is φ = 6566400.

The previous prime is 23373121. The next prime is 23373127. The reversal of 23373126 is 62137332.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23373126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23373121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6166 + ... + 9206.

It is an arithmetic number, because the mean of its divisors is an integer number (1225926).

Almost surely, 223373126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23373126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29422224).

23373126 is an abundant number, since it is smaller than the sum of its proper divisors (35471322).

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

23373126 is a wasteful number, since it uses less digits than its factorization.

23373126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3114 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 23373126 is about 4834.5760931027. The cubic root of 23373126 is about 285.9163120912.

The spelling of 23373126 in words is "twenty-three million, three hundred seventy-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3041 3843 6082 7686 9123 18246 21287 27369 42574 54738 63861 127722 185501 191583 371002 383166 556503 1113006 1298507 1669509 2597014 3339018 3895521 7791042 11686563 23373126