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10673820 = 22325193121
BaseRepresentation
bin101000101101…
…111010011100
3202002021201200
4220231322130
510213030240
61020435500
7156504003
oct50557234
922067650
1010673820
116030443
1236a8b90
132299491
1415bbc3a
15e0c930
hexa2de9c

10673820 has 72 divisors (see below), whose sum is σ = 34092240. Its totient is φ = 2695680.

The previous prime is 10673809. The next prime is 10673833. The reversal of 10673820 is 2837601.

It is a super-2 number, since 2×106738202 = 227860866784800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1860 + ... + 4980.

Almost surely, 210673820 is an apocalyptic number.

10673820 is a gapful number since it is divisible by the number (10) 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 10673820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17046120).

10673820 is an abundant number, since it is smaller than the sum of its proper divisors (23418420).

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

10673820 is a wasteful number, since it uses less digits than its factorization.

10673820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10673820 is about 3267.0812662069. The cubic root of 10673820 is about 220.1776801518.

The spelling of 10673820 in words is "ten million, six hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3121 3420 6242 9363 12484 15605 18726 28089 31210 37452 46815 56178 59299 62420 93630 112356 118598 140445 177897 187260 237196 280890 296495 355794 533691 561780 592990 711588 889485 1067382 1185980 1778970 2134764 2668455 3557940 5336910 10673820