Search a number
-
+
8405140 = 2251759419
BaseRepresentation
bin100000000100…
…000010010100
3120211000200111
4200010002110
54122431030
6500052404
7131304532
oct40040224
916730614
108405140
1148209a7
122994104
131983973
14118b152
15b1062a
hex804094

8405140 has 48 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 3103232.

The previous prime is 8405101. The next prime is 8405149. The reversal of 8405140 is 415048.

8405140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19851 + ... + 20269.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 28405140 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 8405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

8405140 is an abundant number, since it is smaller than the sum of its proper divisors (10646060).

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

8405140 is a wasteful number, since it uses less digits than its factorization.

8405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 8405140 is about 2899.1619478739. The cubic root of 8405140 is about 203.3207254269.

The spelling of 8405140 in words is "eight million, four hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 419 590 838 1003 1180 1676 2006 2095 4012 4190 5015 7123 8380 10030 14246 20060 24721 28492 35615 49442 71230 98884 123605 142460 247210 420257 494420 840514 1681028 2101285 4202570 8405140