Search a number
-
+
10340420 = 2251721789
BaseRepresentation
bin100111011100…
…100001000100
3201110100101112
4213130201010
510121343140
61005344152
7153614666
oct47344104
921410345
1010340420
115922a02
123568058
1321b07bc
141532536
15d93c65
hex9dc844

10340420 has 36 divisors (see below), whose sum is σ = 23080260. Its totient is φ = 3890688.

The previous prime is 10340419. The next prime is 10340441. The reversal of 10340420 is 2404301.

It can be written as a sum of positive squares in 6 ways, for example, as 2365444 + 7974976 = 1538^2 + 2824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10340395 and 10340404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4886 + ... + 6674.

Almost surely, 210340420 is an apocalyptic number.

10340420 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 10340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540130).

10340420 is an abundant number, since it is smaller than the sum of its proper divisors (12739840).

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

10340420 is a wasteful number, since it uses less digits than its factorization.

10340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10340420 is about 3215.6523443930. The cubic root of 10340420 is about 217.8609499597.

Adding to 10340420 its reverse (2404301), we get a palindrome (12744721).

The spelling of 10340420 in words is "ten million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 1789 2890 3578 5780 7156 8945 17890 30413 35780 60826 121652 152065 304130 517021 608260 1034042 2068084 2585105 5170210 10340420