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123956 = 22719233
BaseRepresentation
bin11110010000110100
320022000222
4132100310
512431311
62353512
71024250
oct362064
9208028
10123956
1185148
125b898
1344561
1433260
1526adb
hex1e434

123956 has 24 divisors (see below), whose sum is σ = 262080. Its totient is φ = 50112.

The previous prime is 123953. The next prime is 123973. The reversal of 123956 is 659321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2123956 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 123956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

123956 is an abundant number, since it is smaller than the sum of its proper divisors (138124).

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

123956 is a wasteful number, since it uses less digits than its factorization.

123956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 123956 is about 352.0738558882. The cubic root of 123956 is about 49.8604106590.

The spelling of 123956 in words is "one hundred twenty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 233 266 466 532 932 1631 3262 4427 6524 8854 17708 30989 61978 123956