Search a number
-
+
6404940 = 2233529409
BaseRepresentation
bin11000011011101101001100
3110001101221000
4120123231030
53114424230
6345140300
7105304203
oct30335514
913041830
106404940
113685143
12218a690
131433409
14bca23a
15867b60
hex61bb4c

6404940 has 96 divisors (see below), whose sum is σ = 20664000. Its totient is φ = 1645056.

The previous prime is 6404929. The next prime is 6404987. The reversal of 6404940 is 494046.

6404940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15456 + ... + 15864.

It is an arithmetic number, because the mean of its divisors is an integer number (215250).

Almost surely, 26404940 is an apocalyptic number.

6404940 is a gapful number since it is divisible by the number (60) 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 6404940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332000).

6404940 is an abundant number, since it is smaller than the sum of its proper divisors (14259060).

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

6404940 is a wasteful number, since it uses less digits than its factorization.

6404940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6404940 is about 2530.7982930293. The cubic root of 6404940 is about 185.7113107441.

Adding to 6404940 its reverse (494046), we get a palindrome (6898986).

The spelling of 6404940 in words is "six million, four hundred four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 409 435 522 540 580 783 818 870 1044 1227 1305 1566 1636 1740 2045 2454 2610 3132 3681 3915 4090 4908 5220 6135 7362 7830 8180 11043 11861 12270 14724 15660 18405 22086 23722 24540 35583 36810 44172 47444 55215 59305 71166 73620 106749 110430 118610 142332 177915 213498 220860 237220 320247 355830 426996 533745 640494 711660 1067490 1280988 1601235 2134980 3202470 6404940