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123960 = 23351033
BaseRepresentation
bin11110010000111000
320022001010
4132100320
512431320
62353520
71024254
oct362070
9208033
10123960
1185151
125b8a0
1344565
1433264
1526ae0
hex1e438

123960 has 32 divisors (see below), whose sum is σ = 372240. Its totient is φ = 33024.

The previous prime is 123953. The next prime is 123973. The reversal of 123960 is 69321.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

123960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 636.

2123960 is an apocalyptic number.

123960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123960 is an abundant number, since it is smaller than the sum of its proper divisors (248280).

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

123960 is a wasteful number, since it uses less digits than its factorization.

123960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 123960 is about 352.0795364687. The cubic root of 123960 is about 49.8609469770.

The spelling of 123960 in words is "one hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1033 2066 3099 4132 5165 6198 8264 10330 12396 15495 20660 24792 30990 41320 61980 123960