Search a number
-
+
10311420 = 2235724551
BaseRepresentation
bin100111010101…
…011011111100
3201101212121110
4213111123330
510114431140
61005002020
7153434310
oct47253374
921355543
1010311420
115903139
123553310
1321a0542
141525b40
15d8a380
hex9d56fc

10311420 has 48 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2356800.

The previous prime is 10311409. The next prime is 10311421. The reversal of 10311420 is 2411301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10311396 and 10311405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11856 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 210311420 is an apocalyptic number.

10311420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311420 is an abundant number, since it is smaller than the sum of its proper divisors (22686468).

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

10311420 is a wasteful number, since it uses less digits than its factorization.

10311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24570 (or 24568 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10311420 is about 3211.1399844915. The cubic root of 10311420 is about 217.6570935375.

Adding to 10311420 its reverse (2411301), we get a palindrome (12722721).

It can be divided in two parts, 10311 and 420, that added together give a triangular number (10731 = T146).

The spelling of 10311420 in words is "ten million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 24551 49102 73653 98204 122755 147306 171857 245510 294612 343714 368265 491020 515571 687428 736530 859285 1031142 1473060 1718570 2062284 2577855 3437140 5155710 10311420