Search a number
-
+
123505140 = 223511187129
BaseRepresentation
bin1110101110010…
…00100111110100
322121101201012110
413113020213310
5223104131030
620131051020
73026530203
oct727104764
9277351173
10123505140
1163796270
1235440a70
131c783485
141258d23a
15ac991b0
hex75c89f4

123505140 has 48 divisors (see below), whose sum is σ = 377254080. Its totient is φ = 29940480.

The previous prime is 123505133. The next prime is 123505157. The reversal of 123505140 is 41505321.

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, 92905 + ... + 94224.

It is an arithmetic number, because the mean of its divisors is an integer number (7859460).

Almost surely, 2123505140 is an apocalyptic number.

123505140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123505140 is an abundant number, since it is smaller than the sum of its proper divisors (253748940).

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

123505140 is a wasteful number, since it uses less digits than its factorization.

123505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187152 (or 187150 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 123505140 is about 11113.2866425734. The cubic root of 123505140 is about 497.9988548545.

The spelling of 123505140 in words is "one hundred twenty-three million, five hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 187129 374258 561387 748516 935645 1122774 1871290 2058419 2245548 2806935 3742580 4116838 5613870 6175257 8233676 10292095 11227740 12350514 20584190 24701028 30876285 41168380 61752570 123505140