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123328540 = 225173111701
BaseRepresentation
bin1110101100111…
…01100000011100
322121001201221201
413112131200130
5223033003130
620123205244
73025163266
oct726354034
9277051851
10123328540
1163685615
1235376824
131c720c8a
1412544b36
15ac61bca
hex759d81c

123328540 has 48 divisors (see below), whose sum is σ = 283094784. Its totient is φ = 44928000.

The previous prime is 123328537. The next prime is 123328567. The reversal of 123328540 is 45823321.

It is a junction number, because it is equal to n+sod(n) for n = 123328499 and 123328508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4690 + ... + 16390.

It is an arithmetic number, because the mean of its divisors is an integer number (5897808).

Almost surely, 2123328540 is an apocalyptic number.

123328540 is a gapful number since it is divisible by the number (10) 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 123328540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141547392).

123328540 is an abundant number, since it is smaller than the sum of its proper divisors (159766244).

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

123328540 is a wasteful number, since it uses less digits than its factorization.

123328540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11756 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 123328540 is about 11105.3383559440. The cubic root of 123328540 is about 497.7613787749.

The spelling of 123328540 in words is "one hundred twenty-three million, three hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 11701 23402 46804 58505 117010 198917 234020 362731 397834 725462 795668 994585 1450924 1813655 1989170 3627310 3978340 6166427 7254620 12332854 24665708 30832135 61664270 123328540