Search a number
-
+
6432640 = 27519232
BaseRepresentation
bin11000100010011110000000
3110002210220221
4120202132000
53121321030
6345512424
7105451024
oct30423600
913083827
106432640
1136a3a35
1221a2714
131442bc6
14bd6384
15870e7a
hex622780

6432640 has 96 divisors (see below), whose sum is σ = 16921800. Its totient is φ = 2331648.

The previous prime is 6432637. The next prime is 6432649. The reversal of 6432640 is 462346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6432649) 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, 279669 + ... + 279691.

Almost surely, 26432640 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 6432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460900).

6432640 is an abundant number, since it is smaller than the sum of its proper divisors (10489160).

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

6432640 is a wasteful number, since it uses less digits than its factorization.

6432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 6432640 is about 2536.2649703846. The cubic root of 6432640 is about 185.9786463327.

Adding to 6432640 its reverse (462346), we get a palindrome (6894986).

The spelling of 6432640 in words is "six million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 128 152 160 184 190 230 304 320 368 380 437 460 529 608 640 736 760 874 920 1058 1216 1472 1520 1748 1840 2116 2185 2432 2645 2944 3040 3496 3680 4232 4370 5290 6080 6992 7360 8464 8740 10051 10580 12160 13984 14720 16928 17480 20102 21160 27968 33856 34960 40204 42320 50255 55936 67712 69920 80408 84640 100510 139840 160816 169280 201020 279680 321632 338560 402040 643264 804080 1286528 1608160 3216320 6432640