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123427668 = 223721367241
BaseRepresentation
bin1110101101101…
…01101101010100
322121020202221010
413112311231110
5223044141133
620125252220
73026055300
oct726655524
9277222833
10123427668
1163743041
1235404070
131c757130
141256cd00
15ac81263
hex75b5b54

123427668 has 144 divisors (see below), whose sum is σ = 367692864. Its totient is φ = 31933440.

The previous prime is 123427663. The next prime is 123427693. The reversal of 123427668 is 866724321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123427663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512028 + ... + 512268.

Almost surely, 2123427668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123427668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183846432).

123427668 is an abundant number, since it is smaller than the sum of its proper divisors (244265196).

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

123427668 is a wasteful number, since it uses less digits than its factorization.

123427668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 123427668 is about 11109.8005382635. The cubic root of 123427668 is about 497.8947052429.

The spelling of 123427668 in words is "one hundred twenty-three million, four hundred twenty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 67 78 84 91 98 134 147 156 182 196 201 241 268 273 294 364 402 469 482 546 588 637 723 804 871 938 964 1092 1274 1407 1446 1687 1742 1876 1911 2548 2613 2814 2892 3133 3283 3374 3484 3822 5061 5226 5628 6097 6266 6566 6748 7644 9399 9849 10122 10452 11809 12194 12532 13132 16147 18291 18798 19698 20244 21931 23618 24388 32294 35427 36582 37596 39396 42679 43862 47236 48441 64588 65793 70854 73164 85358 87724 96882 113029 128037 131586 141708 153517 170716 193764 209911 226058 256074 263172 307034 339087 419822 452116 460551 512148 614068 629733 678174 791203 839644 921102 1259466 1356348 1469377 1582406 1842204 2373609 2518932 2938754 3164812 4408131 4747218 5877508 8816262 9494436 10285639 17632524 20571278 30856917 41142556 61713834 123427668