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12833370 = 23351129149
BaseRepresentation
bin110000111101…
…001001011010
3220011000002000
4300331021122
511241131440
61135021430
7214040034
oct60751132
926130060
1012833370
1172759a0
12436a876
132874414
1419c0c54
1511d7730
hexc3d25a

12833370 has 128 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 2983680.

The previous prime is 12833357. The next prime is 12833383. The reversal of 12833370 is 7333821.

12833370 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12833357) and next prime (12833383).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86056 + ... + 86204.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 212833370 is an apocalyptic number.

12833370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12833370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

12833370 is an abundant number, since it is smaller than the sum of its proper divisors (26046630).

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

12833370 is a wasteful number, since it uses less digits than its factorization.

12833370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 12833370 is about 3582.3693276936. The cubic root of 12833370 is about 234.1245228097.

It can be divided in two parts, 12833 and 370, that added together give a triangular number (13203 = T162).

The spelling of 12833370 in words is "twelve million, eight hundred thirty-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 149 165 174 198 261 270 290 297 298 319 330 435 447 495 522 594 638 745 783 870 894 957 990 1305 1341 1485 1490 1566 1595 1639 1914 2235 2610 2682 2871 2970 3190 3278 3915 4023 4321 4470 4785 4917 5742 6705 7830 8046 8195 8613 8642 9570 9834 12963 13410 14355 14751 16390 17226 20115 21605 24585 25926 28710 29502 38889 40230 43065 43210 44253 47531 49170 64815 73755 77778 86130 88506 95062 116667 129630 142593 147510 194445 221265 233334 237655 285186 388890 427779 442530 475310 583335 712965 855558 1166670 1283337 1425930 2138895 2566674 4277790 6416685 12833370