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10293820 = 22519103263
BaseRepresentation
bin100111010001…
…001000111100
3201100222110121
4213101020330
510113400240
61004344324
7153332065
oct47211074
921328417
1010293820
1158a0999
1235450a4
132195524
14151d56c
15d8504a
hex9d123c

10293820 has 48 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 3848256.

The previous prime is 10293817. The next prime is 10293847. The reversal of 10293820 is 2839201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 39009 + ... + 39271.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 210293820 is an apocalyptic number.

10293820 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 10293820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

10293820 is an abundant number, since it is smaller than the sum of its proper divisors (12769220).

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

10293820 is a wasteful number, since it uses less digits than its factorization.

10293820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10293820 is about 3208.3983543195. The cubic root of 10293820 is about 217.5331873435.

The spelling of 10293820 in words is "ten million, two hundred ninety-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 263 380 412 515 526 1030 1052 1315 1957 2060 2630 3914 4997 5260 7828 9785 9994 19570 19988 24985 27089 39140 49970 54178 99940 108356 135445 270890 514691 541780 1029382 2058764 2573455 5146910 10293820