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123489696 = 25311210631
BaseRepresentation
bin1110101110001…
…00110110100000
322121100221000110
413113010312200
5223103132241
620130451320
73026434161
oct727046640
9277327013
10123489696
1163785700
1235433b40
131c779435
1412587768
15ac94816
hex75c4da0

123489696 has 72 divisors (see below), whose sum is σ = 356342112. Its totient is φ = 37417600.

The previous prime is 123489673. The next prime is 123489701. The reversal of 123489696 is 696984321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6301 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (4949196).

Almost surely, 2123489696 is an apocalyptic number.

123489696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123489696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178171056).

123489696 is an abundant number, since it is smaller than the sum of its proper divisors (232852416).

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

123489696 is a wasteful number, since it uses less digits than its factorization.

123489696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10647 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 123489696 is about 11112.5917768989. The cubic root of 123489696 is about 497.9780961641.

The spelling of 123489696 in words is "one hundred twenty-three million, four hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 10631 11616 21262 31893 42524 63786 85048 116941 127572 170096 233882 255144 340192 350823 467764 510288 701646 935528 1020576 1286351 1403292 1871056 2572702 2806584 3742112 3859053 5145404 5613168 7718106 10290808 11226336 15436212 20581616 30872424 41163232 61744848 123489696