Search a number
-
+
122341728 = 2531976469
BaseRepresentation
bin1110100101011…
…00100101100000
322112012121022010
413102230211200
5222304413403
620050112520
73013613265
oct722544540
9275177263
10122341728
1163071173
1234b7b740
131c466a72
141236926c
15ab19603
hex74ac960

122341728 has 48 divisors (see below), whose sum is σ = 322827120. Its totient is φ = 40567296.

The previous prime is 122341711. The next prime is 122341757. The reversal of 122341728 is 827143221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122341695 and 122341704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15678 + ... + 22146.

It is an arithmetic number, because the mean of its divisors is an integer number (6725565).

Almost surely, 2122341728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161413560).

122341728 is an abundant number, since it is smaller than the sum of its proper divisors (200485392).

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

122341728 is a wasteful number, since it uses less digits than its factorization.

122341728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6671 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 122341728 is about 11060.8194994765. The cubic root of 122341728 is about 496.4302112042.

Adding to 122341728 its reverse (827143221), we get a palindrome (949484949).

The spelling of 122341728 in words is "one hundred twenty-two million, three hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1576 2364 3152 4728 6304 6469 9456 12938 18912 19407 25876 38814 51752 77628 103504 155256 207008 310512 621024 1274393 2548786 3823179 5097572 7646358 10195144 15292716 20390288 30585432 40780576 61170864 122341728