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10340020 = 2253789157
BaseRepresentation
bin100111011100…
…011010110100
3201110022211201
4213130122310
510121340040
61005342244
7153613555
oct47343264
921408751
1010340020
115922679
123567984
1321b0572
14153232c
15d93a9a
hex9dc6b4

10340020 has 48 divisors (see below), whose sum is σ = 22695120. Its totient is φ = 3953664.

The previous prime is 10340017. The next prime is 10340039. The reversal of 10340020 is 2004301.

It can be written as a sum of positive squares in 8 ways, for example, as 138384 + 10201636 = 372^2 + 3194^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10339979 and 10340006.

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 15 ways as a sum of consecutive naturals, for example, 65782 + ... + 65938.

It is an arithmetic number, because the mean of its divisors is an integer number (472815).

Almost surely, 210340020 is an apocalyptic number.

10340020 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 10340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11347560).

10340020 is an abundant number, since it is smaller than the sum of its proper divisors (12355100).

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

10340020 is a wasteful number, since it uses less digits than its factorization.

10340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10340020 is about 3215.5901480133. The cubic root of 10340020 is about 217.8581407410.

Adding to 10340020 its reverse (2004301), we get a palindrome (12344321).

The spelling of 10340020 in words is "ten million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 89 148 157 178 185 314 356 370 445 628 740 785 890 1570 1780 3140 3293 5809 6586 11618 13172 13973 16465 23236 27946 29045 32930 55892 58090 65860 69865 116180 139730 279460 517001 1034002 2068004 2585005 5170010 10340020