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10196820 = 2233523821
BaseRepresentation
bin100110111001…
…011101010100
3201012001102000
4212321131110
510102244240
61002315300
7152446224
oct46713524
921161360
1010196820
115835027
1234b8b30
13216032a
1414d6084
15d66430
hex9b9754

10196820 has 96 divisors (see below), whose sum is σ = 33143040. Its totient is φ = 2597760.

The previous prime is 10196803. The next prime is 10196827. The reversal of 10196820 is 2869101.

It is a super-2 number, since 2×101968202 = 207950276224800, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10196827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12010 + ... + 12830.

It is an arithmetic number, because the mean of its divisors is an integer number (345240).

Almost surely, 210196820 is an apocalyptic number.

10196820 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 10196820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571520).

10196820 is an abundant number, since it is smaller than the sum of its proper divisors (22946220).

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

10196820 is a wasteful number, since it uses less digits than its factorization.

10196820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10196820 is about 3193.2459974139. The cubic root of 10196820 is about 216.8477486819.

The spelling of 10196820 in words is "ten million, one hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 821 828 1035 1242 1380 1642 2070 2463 2484 3105 3284 4105 4140 4926 6210 7389 8210 9852 12315 12420 14778 16420 18883 22167 24630 29556 36945 37766 44334 49260 56649 73890 75532 88668 94415 110835 113298 147780 169947 188830 221670 226596 283245 339894 377660 443340 509841 566490 679788 849735 1019682 1132980 1699470 2039364 2549205 3398940 5098410 10196820