Search a number
-
+
6440720 = 2451113563
BaseRepresentation
bin11000100100011100010000
3110010020000012
4120210130100
53122100340
6350014052
7105513416
oct30443420
913106005
106440720
1136aa010
1221a7328
1314467a0
14bd92b6
15873565
hex624710

6440720 has 80 divisors (see below), whose sum is σ = 17623872. Its totient is φ = 2158080.

The previous prime is 6440699. The next prime is 6440723. The reversal of 6440720 is 270446.

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

It is not an unprimeable number, because it can be changed into a prime (6440723) 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, 11159 + ... + 11721.

Almost surely, 26440720 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 6440720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8811936).

6440720 is an abundant number, since it is smaller than the sum of its proper divisors (11183152).

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

6440720 is a wasteful number, since it uses less digits than its factorization.

6440720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 6440720 is about 2537.8573639982. The cubic root of 6440720 is about 186.0564826342.

The spelling of 6440720 in words is "six million, four hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 563 572 715 880 1040 1126 1144 1430 2252 2288 2815 2860 4504 5630 5720 6193 7319 9008 11260 11440 12386 14638 22520 24772 29276 30965 36595 45040 49544 58552 61930 73190 80509 99088 117104 123860 146380 161018 247720 292760 322036 402545 495440 585520 644072 805090 1288144 1610180 3220360 6440720