Search a number
-
+
122011984 = 24431091627
BaseRepresentation
bin1110100010111…
…00000101010000
322111120211222101
413101130011100
5222213340414
620035050144
73011041033
oct721340520
9274524871
10122011984
1162966456
1234a40954
131c37c953
14122c101a
15aaa1a74
hex745c150

122011984 has 40 divisors (see below), whose sum is σ = 244265120. Its totient is φ = 59004288.

The previous prime is 122011973. The next prime is 122011991. The reversal of 122011984 is 489110221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74179 + ... + 75805.

It is an arithmetic number, because the mean of its divisors is an integer number (6106628).

Almost surely, 2122011984 is an apocalyptic number.

It is an amenable number.

122011984 is an abundant number, since it is smaller than the sum of its proper divisors (122253136).

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

122011984 is a wasteful number, since it uses less digits than its factorization.

122011984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 122011984 is about 11045.9034940561. The cubic root of 122011984 is about 495.9838054026.

The spelling of 122011984 in words is "one hundred twenty-two million, eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 43 86 109 172 218 344 436 688 872 1627 1744 3254 4687 6508 9374 13016 18748 26032 37496 69961 74992 139922 177343 279844 354686 559688 709372 1119376 1418744 2837488 7625749 15251498 30502996 61005992 122011984