Search a number
-
+
123064260 = 22351132367
BaseRepresentation
bin1110101010111…
…00111111000100
322120120022102120
413111130333010
5223001024020
620113405540
73023012634
oct725347704
9276508376
10123064260
1163515000
12352698b0
131c65a8b7
14124b66c4
15ac0d740
hex755cfc4

123064260 has 192 divisors, whose sum is σ = 401393664. Its totient is φ = 28110720.

The previous prime is 123064259. The next prime is 123064261. The reversal of 123064260 is 62460321.

It is an interprime number because it is at equal distance from previous prime (123064259) and next prime (123064261).

It is a self number, because there is not a number n which added to its sum of digits gives 123064260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123064261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1836747 + ... + 1836813.

It is an arithmetic number, because the mean of its divisors is an integer number (2090592).

Almost surely, 2123064260 is an apocalyptic number.

123064260 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 123064260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200696832).

123064260 is an abundant number, since it is smaller than the sum of its proper divisors (278329404).

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

123064260 is a wasteful number, since it uses less digits than its factorization.

123064260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 123064260 is about 11093.4331926595. The cubic root of 123064260 is about 497.4055745306.

The spelling of 123064260 in words is "one hundred twenty-three million, sixty-four thousand, two hundred sixty".