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122534464 = 2613211329
BaseRepresentation
bin1110100110110…
…11101001000000
322112120101200111
413103123221000
5222332100324
620054201104
73015345223
oct723335100
9275511614
10122534464
1163192a58
1235053194
131c503700
14123b95ba
15ab56794
hex74dba40

122534464 has 42 divisors (see below), whose sum is σ = 263320530. Its totient is φ = 56549376.

The previous prime is 122534459. The next prime is 122534479. The reversal of 122534464 is 464435221.

It can be written as a sum of positive squares in 3 ways, for example, as 652864 + 121881600 = 808^2 + 11040^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5152 + ... + 16480.

Almost surely, 2122534464 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 122534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131660265).

122534464 is an abundant number, since it is smaller than the sum of its proper divisors (140786066).

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

122534464 is a wasteful number, since it uses less digits than its factorization.

122534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11367 (or 11344 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 122534464 is about 11069.5286259172. The cubic root of 122534464 is about 496.6907649123.

Adding to 122534464 its reverse (464435221), we get a palindrome (586969685).

The spelling of 122534464 in words is "one hundred twenty-two million, five hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 11329 22658 45316 90632 147277 181264 294554 362528 589108 725056 1178216 1914601 2356432 3829202 4712864 7658404 9425728 15316808 30633616 61267232 122534464