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123966996 = 223291013527
BaseRepresentation
bin1110110001110…
…01011000010100
322122021011202020
413120321120110
5223213420441
620145013140
73033462546
oct730713024
9278234666
10123966996
1163a8126a
12356241b0
131c8b576a
141266d696
15ad3ae66
hex7639614

123966996 has 48 divisors (see below), whose sum is σ = 302279040. Its totient is φ = 39491200.

The previous prime is 123966991. The next prime is 123967007. The reversal of 123966996 is 699669321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123966991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33385 + ... + 36911.

It is an arithmetic number, because the mean of its divisors is an integer number (6297480).

Almost surely, 2123966996 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 123966996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

123966996 is an abundant number, since it is smaller than the sum of its proper divisors (178312044).

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

123966996 is a wasteful number, since it uses less digits than its factorization.

123966996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3662 counting only the distinct ones).

The product of its digits is 944784, while the sum is 51.

The square root of 123966996 is about 11134.0467036922. The cubic root of 123966996 is about 498.6188496939.

The spelling of 123966996 in words is "one hundred twenty-three million, nine hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 1212 2929 3527 5858 7054 8787 10581 11716 14108 17574 21162 35148 42324 102283 204566 306849 356227 409132 613698 712454 1068681 1227396 1424908 2137362 4274724 10330583 20661166 30991749 41322332 61983498 123966996