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123364494 = 232114191487
BaseRepresentation
bin1110101101001…
…10010010001110
322121010120021100
413112212102032
5223040130434
620124043530
73025403151
oct726462216
9277116240
10123364494
11636aa630
12353935a6
131c734456
1412553c98
15ac6c699
hex75a648e

123364494 has 48 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 37268880.

The previous prime is 123364489. The next prime is 123364499. The reversal of 123364494 is 494463321.

It is a happy number.

123364494 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 644 + 9 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (123364489) and next prime (123364499).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123364499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82219 + ... + 83705.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2123364494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123364494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

123364494 is an abundant number, since it is smaller than the sum of its proper divisors (169116786).

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

123364494 is a wasteful number, since it uses less digits than its factorization.

123364494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1922 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 123364494 is about 11106.9570090102. The cubic root of 123364494 is about 497.8097449081.

The spelling of 123364494 in words is "one hundred twenty-three million, three hundred sixty-four thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 419 838 1257 1487 2514 2974 3771 4461 4609 7542 8922 9218 13383 13827 16357 26766 27654 32714 41481 49071 82962 98142 147213 294426 623053 1246106 1869159 3738318 5607477 6853583 11214954 13707166 20560749 41121498 61682247 123364494