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123885104 = 24710310739
BaseRepresentation
bin1110110001001…
…01011000110000
322122010000102012
413120211120300
5223203310404
620143142052
73033002030
oct730453060
9278100365
10123885104
1163a25792
12355a4928
131c8873c5
141264b8c0
15ad21a6e
hex7625630

123885104 has 40 divisors (see below), whose sum is σ = 277006080. Its totient is φ = 52573248.

The previous prime is 123885101. The next prime is 123885119. The reversal of 123885104 is 401588321.

It is not an unprimeable number, because it can be changed into a prime (123885101) 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, 6167 + ... + 16905.

It is an arithmetic number, because the mean of its divisors is an integer number (6925152).

Almost surely, 2123885104 is an apocalyptic number.

123885104 is a gapful number since it is divisible by the number (14) 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 123885104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138503040).

123885104 is an abundant number, since it is smaller than the sum of its proper divisors (153120976).

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

123885104 is a wasteful number, since it uses less digits than its factorization.

123885104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857 (or 10851 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 123885104 is about 11130.3685473573. The cubic root of 123885104 is about 498.5090304387.

The spelling of 123885104 in words is "one hundred twenty-three million, eight hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 5768 10739 11536 21478 42956 75173 85912 150346 171824 300692 601384 1106117 1202768 2212234 4424468 7742819 8848936 15485638 17697872 30971276 61942552 123885104