Search a number
-
+
6394640 = 245719601
BaseRepresentation
bin11000011001001100010000
3110000212210112
4120121030100
53114112030
6345020452
7105232160
oct30311420
913025715
106394640
11367842a
122184728
13142b815
14bc65a0
15864a95
hex619310

6394640 has 80 divisors (see below), whose sum is σ = 17915520. Its totient is φ = 2073600.

The previous prime is 6394637. The next prime is 6394643. The reversal of 6394640 is 464936.

It is an interprime number because it is at equal distance from previous prime (6394637) and next prime (6394643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6394597 and 6394606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6394643) 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, 10340 + ... + 10940.

It is an arithmetic number, because the mean of its divisors is an integer number (223944).

Almost surely, 26394640 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 6394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957760).

6394640 is an abundant number, since it is smaller than the sum of its proper divisors (11520880).

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

6394640 is a wasteful number, since it uses less digits than its factorization.

6394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 6394640 is about 2528.7625432215. The cubic root of 6394640 is about 185.6117077930.

The spelling of 6394640 in words is "six million, three hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 601 665 760 1064 1202 1330 1520 2128 2404 2660 3005 4207 4808 5320 6010 8414 9616 10640 11419 12020 16828 21035 22838 24040 33656 42070 45676 48080 57095 67312 79933 84140 91352 114190 159866 168280 182704 228380 319732 336560 399665 456760 639464 799330 913520 1278928 1598660 3197320 6394640