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12257028 = 2233731523
BaseRepresentation
bin101110110000…
…011100000100
3212001201111000
4232300130010
511114211103
61114413300
7206116530
oct56603404
925051430
1012257028
116a11983
124131230
132701ca4
1418b0bc0
151121aa3
hexbb0704

12257028 has 96 divisors (see below), whose sum is σ = 37560320. Its totient is φ = 3382560.

The previous prime is 12257009. The next prime is 12257039. The reversal of 12257028 is 82075221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12256992 and 12257010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23175 + ... + 23697.

Almost surely, 212257028 is an apocalyptic number.

12257028 is a gapful number since it is divisible by the number (18) 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 12257028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780160).

12257028 is an abundant number, since it is smaller than the sum of its proper divisors (25303292).

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

12257028 is a wasteful number, since it uses less digits than its factorization.

12257028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12257028 is about 3501.0038560390. The cubic root of 12257028 is about 230.5658907277.

Subtracting from 12257028 its sum of digits (27), we obtain a square (12257001 = 35012).

The spelling of 12257028 in words is "twelve million, two hundred fifty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 523 558 651 756 837 868 1046 1116 1302 1569 1674 1953 2092 2604 3138 3348 3661 3906 4707 5859 6276 7322 7812 9414 10983 11718 14121 14644 16213 18828 21966 23436 28242 32426 32949 43932 48639 56484 64852 65898 97278 98847 113491 131796 145917 194556 197694 226982 291834 340473 395388 437751 453964 583668 680946 875502 1021419 1361892 1751004 2042838 3064257 4085676 6128514 12257028