Search a number
-
+
23129577 = 331038317
BaseRepresentation
bin101100000111…
…0110111101001
31121112002211000
41120032313221
521410121302
62143425213
7400412112
oct130166751
947462730
1023129577
1112068659
1278b5209
134a3aa53
143101209
15206d31c
hex160ede9

23129577 has 16 divisors (see below), whose sum is σ = 34602880. Its totient is φ = 15268176.

The previous prime is 23129569. The next prime is 23129591. The reversal of 23129577 is 77592132.

It is not a de Polignac number, because 23129577 - 23 = 23129569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23129507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (2162680).

Almost surely, 223129577 is an apocalyptic number.

23129577 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23129577 is a deficient number, since it is larger than the sum of its proper divisors (11473303).

23129577 is a wasteful number, since it uses less digits than its factorization.

23129577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8423 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 23129577 is about 4809.3218856716. The cubic root of 23129577 is about 284.9197558020.

It can be divided in two parts, 23 and 129577, that added together give a square (129600 = 3602).

The spelling of 23129577 in words is "twenty-three million, one hundred twenty-nine thousand, five hundred seventy-seven".

Divisors: 1 3 9 27 103 309 927 2781 8317 24951 74853 224559 856651 2569953 7709859 23129577