Search a number
-
+
6640032 = 253741241
BaseRepresentation
bin11001010101000110100000
3110111100102010
4121111012200
53144440112
6354152520
7110303460
oct31250640
913440363
106640032
113825833
122282740
1314b6419
14c4bba0
158b263c
hex6551a0

6640032 has 96 divisors (see below), whose sum is σ = 20490624. Its totient is φ = 1843200.

The previous prime is 6640027. The next prime is 6640061. The reversal of 6640032 is 2300466.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×66400322 = 88180049922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 6639990 and 6640008.

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, 27432 + ... + 27672.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

Almost surely, 26640032 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 6640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245312).

6640032 is an abundant number, since it is smaller than the sum of its proper divisors (13850592).

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

6640032 is a wasteful number, since it uses less digits than its factorization.

6640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6640032 is about 2576.8259545417. The cubic root of 6640032 is about 187.9562294358.

Adding to 6640032 its reverse (2300466), we get a palindrome (8940498).

The spelling of 6640032 in words is "six million, six hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 241 246 287 328 336 482 492 574 656 672 723 861 964 984 1148 1312 1446 1687 1722 1928 1968 2296 2892 3374 3444 3856 3936 4592 5061 5784 6748 6888 7712 9184 9881 10122 11568 13496 13776 19762 20244 23136 26992 27552 29643 39524 40488 53984 59286 69167 79048 80976 118572 138334 158096 161952 207501 237144 276668 316192 415002 474288 553336 830004 948576 1106672 1660008 2213344 3320016 6640032