Search a number
-
+
122324076 = 223274211153
BaseRepresentation
bin1110100101010…
…00010001101100
322112011201002100
413102220101230
5222303332301
620045455100
73013510650
oct722502154
9275151070
10122324076
1163059986
1234b71490
131c45ba14
1412362a60
15ab14286
hex74a846c

122324076 has 72 divisors (see below), whose sum is σ = 354527264. Its totient is φ = 34836480.

The previous prime is 122324063. The next prime is 122324087. The reversal of 122324076 is 670423221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105516 + ... + 106668.

Almost surely, 2122324076 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 122324076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177263632).

122324076 is an abundant number, since it is smaller than the sum of its proper divisors (232203188).

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

122324076 is a wasteful number, since it uses less digits than its factorization.

122324076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 122324076 is about 11060.0215189664. The cubic root of 122324076 is about 496.4063343479.

Adding to 122324076 its reverse (670423221), we get a palindrome (792747297).

The spelling of 122324076 in words is "one hundred twenty-two million, three hundred twenty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 421 842 1153 1263 1684 2306 2526 2947 3459 3789 4612 5052 5894 6918 7578 8071 8841 10377 11788 13836 15156 16142 17682 20754 24213 26523 32284 35364 41508 48426 53046 72639 96852 106092 145278 290556 485413 970826 1456239 1941652 2912478 3397891 4368717 5824956 6795782 8737434 10193673 13591564 17474868 20387346 30581019 40774692 61162038 122324076