Search a number
-
+
123372540 = 223255911617
BaseRepresentation
bin1110101101010…
…00001111111100
322121010222022100
413112220033330
5223040410130
620124145100
73025435464
oct726501774
9277128270
10123372540
1163705685
1235398190
131c738005
1412556ba4
15ac6ec60
hex75a83fc

123372540 has 72 divisors (see below), whose sum is σ = 380605680. Its totient is φ = 32338944.

The previous prime is 123372539. The next prime is 123372569. The reversal of 123372540 is 45273321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4812 + ... + 16428.

It is an arithmetic number, because the mean of its divisors is an integer number (5286190).

Almost surely, 2123372540 is an apocalyptic number.

123372540 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 123372540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190302840).

123372540 is an abundant number, since it is smaller than the sum of its proper divisors (257233140).

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

123372540 is a wasteful number, since it uses less digits than its factorization.

123372540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 123372540 is about 11107.3192085219. The cubic root of 123372540 is about 497.8205672823.

The spelling of 123372540 in words is "one hundred twenty-three million, three hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 11617 23234 34851 46468 58085 69702 104553 116170 139404 174255 209106 232340 348510 418212 522765 685403 697020 1045530 1370806 2056209 2091060 2741612 3427015 4112418 6168627 6854030 8224836 10281045 12337254 13708060 20562090 24674508 30843135 41124180 61686270 123372540