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3768930 = 23651147
BaseRepresentation
bin1110011000001001100010
321002111000000
432120021202
51431101210
6212440430
744015064
oct16301142
97074000
103768930
112144720
121319116
13a1c649
14701734
154e6ac0
hex398262

3768930 has 112 divisors (see below), whose sum is σ = 11332224. Its totient is φ = 894240.

The previous prime is 3768929. The next prime is 3768937. The reversal of 3768930 is 398673.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3768937) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80167 + ... + 80213.

Almost surely, 23768930 is an apocalyptic number.

3768930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666112).

3768930 is an abundant number, since it is smaller than the sum of its proper divisors (7563294).

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

3768930 is a wasteful number, since it uses less digits than its factorization.

3768930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3768930 is about 1941.3732253227. The cubic root of 3768930 is about 155.6226084696.

The spelling of 3768930 in words is "three million, seven hundred sixty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 47 54 55 66 81 90 94 99 110 135 141 162 165 198 235 243 270 282 297 330 405 423 470 486 495 517 594 705 729 810 846 891 990 1034 1215 1269 1410 1458 1485 1551 1782 2115 2430 2538 2585 2673 2970 3102 3645 3807 4230 4455 4653 5170 5346 6345 7290 7614 7755 8019 8910 9306 11421 12690 13365 13959 15510 16038 19035 22842 23265 26730 27918 34263 38070 40095 41877 46530 57105 68526 69795 80190 83754 114210 125631 139590 171315 209385 251262 342630 376893 418770 628155 753786 1256310 1884465 3768930