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12404084 = 227111723103
BaseRepresentation
bin101111010100…
…010101110100
3212100012012112
4233110111310
511133412314
61121510152
7210301340
oct57242564
925305175
1012404084
117002410
1241a2358
132753bc4
14190c620
15115043e
hexbd4574

12404084 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 4308480.

The previous prime is 12404059. The next prime is 12404089. The reversal of 12404084 is 48040421.

It is a super-2 number, since 2×124040842 = 307722599758112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404089) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120377 + ... + 120479.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 212404084 is an apocalyptic number.

12404084 is a gapful number since it is divisible by the number (14) 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 12404084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

12404084 is an abundant number, since it is smaller than the sum of its proper divisors (17787532).

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

12404084 is a wasteful number, since it uses less digits than its factorization.

12404084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 12404084 is about 3521.9432136251. The cubic root of 12404084 is about 231.4843133669.

The spelling of 12404084 in words is "twelve million, four hundred four thousand, eighty-four".

Divisors: 1 2 4 7 11 14 17 22 23 28 34 44 46 68 77 92 103 119 154 161 187 206 238 253 308 322 374 391 412 476 506 644 721 748 782 1012 1133 1309 1442 1564 1751 1771 2266 2369 2618 2737 2884 3502 3542 4301 4532 4738 5236 5474 7004 7084 7931 8602 9476 10948 12257 15862 16583 17204 19261 24514 26059 30107 31724 33166 38522 40273 49028 52118 60214 66332 77044 80546 104236 120428 134827 161092 182413 269654 281911 364826 443003 539308 563822 729652 886006 1127644 1772012 3101021 6202042 12404084