Search a number
-
+
122413152 = 2535412357
BaseRepresentation
bin1110100101111…
…10000001100000
322112100020021110
413102332001200
5222314210102
620051423320
73014331441
oct722760140
9275306243
10122413152
116310a8a4
1234bb4b40
131c490424
14123872c8
15ab3086c
hex74be060

122413152 has 48 divisors (see below), whose sum is σ = 322065072. Its totient is φ = 40711680.

The previous prime is 122413129. The next prime is 122413157. The reversal of 122413152 is 251314221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122413157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50758 + ... + 53114.

It is an arithmetic number, because the mean of its divisors is an integer number (6709689).

Almost surely, 2122413152 is an apocalyptic number.

122413152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122413152 is an abundant number, since it is smaller than the sum of its proper divisors (199651920).

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

122413152 is a wasteful number, since it uses less digits than its factorization.

122413152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2903 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 122413152 is about 11064.0477222398. The cubic root of 122413152 is about 496.5267989458.

Adding to 122413152 its reverse (251314221), we get a palindrome (373727373).

The spelling of 122413152 in words is "one hundred twenty-two million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 541 1082 1623 2164 2357 3246 4328 4714 6492 7071 8656 9428 12984 14142 17312 18856 25968 28284 37712 51936 56568 75424 113136 226272 1275137 2550274 3825411 5100548 7650822 10201096 15301644 20402192 30603288 40804384 61206576 122413152