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123696 = 2432859
BaseRepresentation
bin11110001100110000
320021200100
4132030300
512424241
62352400
71023426
oct361460
9207610
10123696
1184a31
125b700
13443c1
1433116
15269b6
hex1e330

123696 has 30 divisors (see below), whose sum is σ = 346580. Its totient is φ = 41184.

The previous prime is 123677. The next prime is 123701. The reversal of 123696 is 696321.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123696.

It is an unprimeable number.

123696 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 5 ways as a sum of consecutive naturals, for example, 286 + ... + 573.

2123696 is an apocalyptic number.

123696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123696 is an abundant number, since it is smaller than the sum of its proper divisors (222884).

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

123696 is a wasteful number, since it uses less digits than its factorization.

123696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 123696 is about 351.7044213541. The cubic root of 123696 is about 49.8255252125.

The spelling of 123696 in words is "one hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 859 1718 2577 3436 5154 6872 7731 10308 13744 15462 20616 30924 41232 61848 123696