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5826920 = 23511171941
BaseRepresentation
bin10110001110100101101000
3101222001000212
4112032211220
52442430140
6324520252
7100346051
oct26164550
911861025
105826920
11331a940
121b50088
1312902a8
14ab9728
157a1765
hex58e968

5826920 has 128 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1843200.

The previous prime is 5826913. The next prime is 5826949. The reversal of 5826920 is 296285.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142100 + ... + 142140.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

Almost surely, 25826920 is an apocalyptic number.

5826920 is the 1394-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

5826920 is an abundant number, since it is smaller than the sum of its proper divisors (10502680).

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

5826920 is a wasteful number, since it uses less digits than its factorization.

5826920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5826920 is about 2413.9014064373. The cubic root of 5826920 is about 179.9477214434.

The spelling of 5826920 in words is "five million, eight hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 41 44 55 68 76 82 85 88 95 110 136 152 164 170 187 190 205 209 220 323 328 340 374 380 410 418 440 451 646 680 697 748 760 779 820 836 902 935 1045 1292 1394 1496 1558 1615 1640 1672 1804 1870 2090 2255 2584 2788 3116 3230 3485 3553 3608 3740 3895 4180 4510 5576 6232 6460 6970 7106 7480 7667 7790 8360 8569 9020 12920 13243 13940 14212 15334 15580 17138 17765 18040 26486 27880 28424 30668 31160 34276 35530 38335 42845 52972 61336 66215 68552 71060 76670 85690 105944 132430 142120 145673 153340 171380 264860 291346 306680 342760 529720 582692 728365 1165384 1456730 2913460 5826920