Search a number
-
+
6107664 = 2431937181
BaseRepresentation
bin10111010011001000010000
3102111022010210
4113103020100
53030421124
6334524120
7102625413
oct27231020
912438123
106107664
1134a1862
122066640
13135b004
14b4db7a
15809a29
hex5d3210

6107664 has 80 divisors (see below), whose sum is σ = 17151680. Its totient is φ = 1866240.

The previous prime is 6107657. The next prime is 6107671. The reversal of 6107664 is 4667016.

6107664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6107657) and next prime (6107671).

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, 33654 + ... + 33834.

It is an arithmetic number, because the mean of its divisors is an integer number (214396).

Almost surely, 26107664 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 6107664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575840).

6107664 is an abundant number, since it is smaller than the sum of its proper divisors (11044016).

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

6107664 is a wasteful number, since it uses less digits than its factorization.

6107664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6107664 is about 2471.3688514667. The cubic root of 6107664 is about 182.7925027290.

The spelling of 6107664 in words is "six million, one hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 181 222 228 296 304 362 444 456 543 592 703 724 888 912 1086 1406 1448 1776 2109 2172 2812 2896 3439 4218 4344 5624 6697 6878 8436 8688 10317 11248 13394 13756 16872 20091 20634 26788 27512 33744 40182 41268 53576 55024 80364 82536 107152 127243 160728 165072 254486 321456 381729 508972 763458 1017944 1526916 2035888 3053832 6107664