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123506214 = 231323492
BaseRepresentation
bin1110101110010…
…00111000100110
322121101202200020
413113020320212
5223104144324
620131100010
73026533266
oct727107046
9277352606
10123506214
1163797057
1235441606
131c783b00
141258d7a6
15ac99679
hex75c8e26

123506214 has 36 divisors (see below), whose sum is σ = 268243596. Its totient is φ = 37893024.

The previous prime is 123506209. The next prime is 123506237. The reversal of 123506214 is 412605321.

It is a super-2 number, since 2×1235062142 = 30507569793227592, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 353712 + ... + 354060.

It is an arithmetic number, because the mean of its divisors is an integer number (7451211).

Almost surely, 2123506214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123506214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134121798).

123506214 is an abundant number, since it is smaller than the sum of its proper divisors (144737382).

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

123506214 is an equidigital number, since it uses as much as digits as its factorization.

123506214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 123506214 is about 11113.3349630073. The cubic root of 123506214 is about 498.0002983821. Note that the first 3 decimals are identical.

Multiplying 123506214 by its sum of digits (24), we get a square (2964149136 = 544442).

The spelling of 123506214 in words is "one hundred twenty-three million, five hundred six thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 349 507 698 1014 1047 2094 4537 9074 13611 27222 58981 117962 121801 176943 243602 353886 365403 730806 1583413 3166826 4750239 9500478 20584369 41168738 61753107 123506214