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122642964 = 22331767997
BaseRepresentation
bin1110100111101…
…10001000010100
322112202220112000
413103312020110
5222344033324
620100355300
73016306443
oct723661024
9275686460
10122642964
1163257524
12350a5b30
131c540c02
1412406d5a
15ab789c9
hex74f6214

122642964 has 96 divisors (see below), whose sum is σ = 342034560. Its totient is φ = 37863936.

The previous prime is 122642957. The next prime is 122642983. The reversal of 122642964 is 469246221.

122642964 is a `hidden beast` number, since 1 + 2 + 2 + 642 + 9 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 122514 + ... + 123510.

It is an arithmetic number, because the mean of its divisors is an integer number (3562860).

Almost surely, 2122642964 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 122642964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171017280).

122642964 is an abundant number, since it is smaller than the sum of its proper divisors (219391596).

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

122642964 is a wasteful number, since it uses less digits than its factorization.

122642964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 122642964 is about 11074.4283825397. The cubic root of 122642964 is about 496.8373224545.

The spelling of 122642964 in words is "one hundred twenty-two million, six hundred forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 102 108 134 153 201 204 268 306 402 459 603 612 804 918 997 1139 1206 1809 1836 1994 2278 2412 2991 3417 3618 3988 4556 5982 6834 7236 8973 10251 11964 13668 16949 17946 20502 26919 30753 33898 35892 41004 50847 53838 61506 66799 67796 101694 107676 123012 133598 152541 200397 203388 267196 305082 400794 457623 601191 610164 801588 915246 1135583 1202382 1803573 1830492 2271166 2404764 3406749 3607146 4542332 6813498 7214292 10220247 13626996 20440494 30660741 40880988 61321482 122642964