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12357828 = 22327192989
BaseRepresentation
bin101111001001…
…000011000100
3212020211202100
4233021003010
511130422303
61120512100
7210016440
oct57110304
925224670
1012357828
116a8068a
12417b630
132738b32
1418d9820
1511418a3
hexbc90c4

12357828 has 144 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3193344.

The previous prime is 12357823. The next prime is 12357853. The reversal of 12357828 is 82875321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12357792 and 12357801.

It is not an unprimeable number, because it can be changed into a prime (12357823) 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, 138808 + ... + 138896.

It is an arithmetic number, because the mean of its divisors is an integer number (273000).

Almost surely, 212357828 is an apocalyptic number.

12357828 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 12357828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

12357828 is an abundant number, since it is smaller than the sum of its proper divisors (26954172).

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

12357828 is a wasteful number, since it uses less digits than its factorization.

12357828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12357828 is about 3515.3702507702. The cubic root of 12357828 is about 231.1962126669.

The spelling of 12357828 in words is "twelve million, three hundred fifty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 29 36 38 42 57 58 63 76 84 87 89 114 116 126 133 171 174 178 203 228 252 261 266 267 342 348 356 399 406 522 532 534 551 609 623 684 798 801 812 1044 1068 1102 1197 1218 1246 1596 1602 1653 1691 1827 1869 2204 2394 2436 2492 2581 3204 3306 3382 3654 3738 3857 4788 4959 5073 5162 5607 6612 6764 7308 7476 7714 7743 9918 10146 10324 11214 11571 11837 15219 15428 15486 18067 19836 20292 22428 23142 23229 23674 30438 30972 34713 35511 36134 46284 46458 47348 49039 54201 60876 69426 71022 72268 92916 98078 106533 108402 138852 142044 147117 162603 196156 213066 216804 294234 325206 343273 426132 441351 588468 650412 686546 882702 1029819 1373092 1765404 2059638 3089457 4119276 6178914 12357828