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3826020 = 22351121731
BaseRepresentation
bin1110100110000101100100
321012101022110
432212011210
51434413040
6214001020
744343402
oct16460544
97171273
103826020
112183600
121346170
13a3c623
14718472
15508980
hex3a6164

3826020 has 144 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 844800.

The previous prime is 3826019. The next prime is 3826157. The reversal of 3826020 is 206283.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123405 + ... + 123435.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

Almost surely, 23826020 is an apocalyptic number.

3826020 is a gapful number since it is divisible by the number (30) 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 3826020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

3826020 is an abundant number, since it is smaller than the sum of its proper divisors (9044124).

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

3826020 is a wasteful number, since it uses less digits than its factorization.

3826020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3826020 is about 1956.0214722748. The cubic root of 3826020 is about 156.4044403647.

The spelling of 3826020 in words is "three million, eight hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 31 33 34 44 51 55 60 62 66 68 85 93 102 110 121 124 132 155 165 170 186 187 204 220 242 255 310 330 340 341 363 372 374 465 484 510 527 561 605 620 660 682 726 748 930 935 1020 1023 1054 1122 1210 1364 1452 1581 1705 1815 1860 1870 2046 2057 2108 2244 2420 2635 2805 3162 3410 3630 3740 3751 4092 4114 5115 5270 5610 5797 6171 6324 6820 7260 7502 7905 8228 10230 10285 10540 11220 11253 11594 12342 15004 15810 17391 18755 20460 20570 22506 23188 24684 28985 30855 31620 34782 37510 41140 45012 56265 57970 61710 63767 69564 75020 86955 112530 115940 123420 127534 173910 191301 225060 255068 318835 347820 382602 637670 765204 956505 1275340 1913010 3826020