Search a number
-
+
406140 = 22357967
BaseRepresentation
bin1100011001001111100
3202122010020
41203021330
5100444030
612412140
73311040
oct1431174
9678106
10406140
11258159
12177050
13112b27
14a8020
1580510
hex6327c

406140 has 48 divisors (see below), whose sum is σ = 1300992. Its totient is φ = 92736.

The previous prime is 406123. The next prime is 406169. The reversal of 406140 is 41604.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (27104).

2406140 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 406140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650496).

406140 is an abundant number, since it is smaller than the sum of its proper divisors (894852).

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

406140 is a wasteful number, since it uses less digits than its factorization.

406140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 406140 is about 637.2911422576. The cubic root of 406140 is about 74.0557165003.

Adding to 406140 its reverse (41604), we get a palindrome (447744).

The spelling of 406140 in words is "four hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 967 1934 2901 3868 4835 5802 6769 9670 11604 13538 14505 19340 20307 27076 29010 33845 40614 58020 67690 81228 101535 135380 203070 406140