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123254404 = 2272132612
BaseRepresentation
bin1110101100010…
…11011010000100
322120220222020221
413112023122010
5223023120104
620121434124
73024434200
oct726133204
9276828227
10123254404
1163634949
123533b944
131c6c6300
1412525b00
15ac49c54
hex758b684

123254404 has 81 divisors (see below), whose sum is σ = 276223311. Its totient is φ = 47960640.

The previous prime is 123254399. The next prime is 123254423. The reversal of 123254404 is 404452321.

It is a happy number.

The square root of 123254404 is 11102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86676100 + 36578304 = 9310^2 + 6048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2020534 + ... + 2020594.

Almost surely, 2123254404 is an apocalyptic number.

123254404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123254404 is the 11102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123254404

123254404 is an abundant number, since it is smaller than the sum of its proper divisors (152968907).

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

123254404 is a wasteful number, since it uses less digits than its factorization.

123254404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 123254404 is about 497.6616196700.

Multiplying 123254404 by its sum of digits (25), we get a square (3081360100 = 555102).

It can be divided in two parts, 12 and 3254404, that added together give a square (3254416 = 18042).

The spelling of 123254404 in words is "one hundred twenty-three million, two hundred fifty-four thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 61 91 98 122 169 182 196 244 338 364 427 637 676 793 854 1183 1274 1586 1708 2366 2548 2989 3172 3721 4732 5551 5978 7442 8281 10309 11102 11956 14884 16562 20618 22204 26047 33124 38857 41236 48373 52094 72163 77714 96746 104188 144326 155428 182329 193492 288652 338611 364658 505141 628849 677222 729316 1010282 1257698 1354444 2020564 2370277 2515396 4401943 4740554 8803886 9481108 17607772 30813601 61627202 123254404