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122640992 = 25171511493
BaseRepresentation
bin1110100111101…
…01101001100000
322112202210210222
413103311221200
5222344002432
620100342212
73016300625
oct723655140
9275683728
10122640992
1163255aa1
12350a4968
131c540046
141240634c
15ab78112
hex74f5a60

122640992 has 48 divisors (see below), whose sum is σ = 257517792. Its totient is φ = 57292800.

The previous prime is 122640961. The next prime is 122641003. The reversal of 122640992 is 299046221.

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, 81398 + ... + 82890.

It is an arithmetic number, because the mean of its divisors is an integer number (5364954).

Almost surely, 2122640992 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 122640992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128758896).

122640992 is an abundant number, since it is smaller than the sum of its proper divisors (134876800).

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

122640992 is a wasteful number, since it uses less digits than its factorization.

122640992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 122640992 is about 11074.3393482410. The cubic root of 122640992 is about 496.8346595257.

The spelling of 122640992 in words is "one hundred twenty-two million, six hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 151 272 302 544 604 1208 1493 2416 2567 2986 4832 5134 5972 10268 11944 20536 23888 25381 41072 47776 50762 82144 101524 203048 225443 406096 450886 812192 901772 1803544 3607088 3832531 7214176 7665062 15330124 30660248 61320496 122640992