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12903192 = 2333314147
BaseRepresentation
bin110001001110…
…001100011000
3220021112212000
4301032030120
511300400232
61140321000
7214450431
oct61161430
926245760
1012903192
1173133a5
1243a3160
13289a133
1419dc488
1511ed27c
hexc4e318

12903192 has 128 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 3974400.

The previous prime is 12903181. The next prime is 12903193. The reversal of 12903192 is 29130921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274513 + ... + 274559.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 212903192 is an apocalyptic number.

12903192 is a gapful number since it is divisible by the number (12) 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 12903192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

12903192 is an abundant number, since it is smaller than the sum of its proper divisors (25804008).

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

12903192 is a wasteful number, since it uses less digits than its factorization.

12903192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 12903192 is about 3592.1013348735. The cubic root of 12903192 is about 234.5483523906.

The spelling of 12903192 in words is "twelve million, nine hundred three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 41 47 54 62 72 82 93 94 108 123 124 141 164 186 188 216 246 248 279 282 328 369 372 376 423 492 558 564 738 744 837 846 984 1107 1116 1128 1269 1271 1457 1476 1674 1692 1927 2214 2232 2538 2542 2914 2952 3348 3384 3813 3854 4371 4428 5076 5084 5781 5828 6696 7626 7708 8742 8856 10152 10168 11439 11562 11656 13113 15252 15416 17343 17484 22878 23124 26226 30504 34317 34686 34968 39339 45756 46248 52029 52452 59737 68634 69372 78678 91512 104058 104904 119474 137268 138744 157356 179211 208116 238948 274536 314712 358422 416232 477896 537633 716844 1075266 1433688 1612899 2150532 3225798 4301064 6451596 12903192