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122696 = 2372313
BaseRepresentation
bin11101111101001000
320020022022
4131331020
512411241
62344012
71020500
oct357510
9206268
10122696
1184202
125b008
1343b02
1432a00
152654b
hex1df48

122696 has 24 divisors (see below), whose sum is σ = 268470. Its totient is φ = 52416.

The previous prime is 122693. The next prime is 122701. The reversal of 122696 is 696221.

122696 = 242 + 252 + ... + 722.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 196 = 350^2 + 14^2 .

It is not an unprimeable number, because it can be changed into a prime (122693) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236 + ... + 548.

2122696 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 122696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134235).

122696 is an abundant number, since it is smaller than the sum of its proper divisors (145774).

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

122696 is a wasteful number, since it uses less digits than its factorization.

122696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 122696 is about 350.2798880895. The cubic root of 122696 is about 49.6908929951.

It can be divided in two parts, 122 and 696, that added together give a palindrome (818).

The spelling of 122696 in words is "one hundred twenty-two thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 313 392 626 1252 2191 2504 4382 8764 15337 17528 30674 61348 122696