Search a number
-
+
31412020 = 2252322969
BaseRepresentation
bin111011111010…
…0111100110100
32012002220012011
41313310330310
531020141040
63041134004
7530666143
oct167647464
965086164
1031412020
1116805352
12a62a304
13667a8c3
14425975a
152b573ea
hex1df4f34

31412020 has 36 divisors (see below), whose sum is σ = 68981220. Its totient is φ = 12014464.

The previous prime is 31411999. The next prime is 31412023. The reversal of 31412020 is 2021413.

It can be written as a sum of positive squares in 2 ways, for example, as 3912484 + 27499536 = 1978^2 + 5244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31412023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9096 + ... + 12064.

It is an arithmetic number, because the mean of its divisors is an integer number (1916145).

Almost surely, 231412020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34490610).

31412020 is an abundant number, since it is smaller than the sum of its proper divisors (37569200).

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

31412020 is a wasteful number, since it uses less digits than its factorization.

31412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 31412020 is about 5604.6427183184. The cubic root of 31412020 is about 315.5236775052.

Adding to 31412020 its reverse (2021413), we get a palindrome (33433433).

The spelling of 31412020 in words is "thirty-one million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 2969 5290 5938 10580 11876 14845 29690 59380 68287 136574 273148 341435 682870 1365740 1570601 3141202 6282404 7853005 15706010 31412020