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123327104 = 2723163257
BaseRepresentation
bin1110101100111…
…01001010000000
322121001122222112
413112131022000
5223032431404
620123154452
73025156145
oct726351200
9277048875
10123327104
116368452a
1235375a28
131c720424
14125443cc
15ac6156e
hex759d280

123327104 has 64 divisors (see below), whose sum is σ = 258949440. Its totient is φ = 58392576.

The previous prime is 123327103. The next prime is 123327109. The reversal of 123327104 is 401723321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 123327104.

It is not an unprimeable number, because it can be changed into a prime (123327103) 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, 479744 + ... + 480000.

It is an arithmetic number, because the mean of its divisors is an integer number (4046085).

Almost surely, 2123327104 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 123327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129474720).

123327104 is an abundant number, since it is smaller than the sum of its proper divisors (135622336).

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

123327104 is a wasteful number, since it uses less digits than its factorization.

123327104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 123327104 is about 11105.2737021651. The cubic root of 123327104 is about 497.7594468401.

The spelling of 123327104 in words is "one hundred twenty-three million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 163 184 257 326 368 514 652 736 1028 1304 1472 2056 2608 2944 3749 4112 5216 5911 7498 8224 10432 11822 14996 16448 20864 23644 29992 32896 41891 47288 59984 83782 94576 119968 167564 189152 239936 335128 378304 479872 670256 756608 963493 1340512 1926986 2681024 3853972 5362048 7707944 15415888 30831776 61663552 123327104