Search a number
-
+
6707064 = 2337133783
BaseRepresentation
bin11001100101011101111000
3110121202100210
4121211131320
53204111224
6355431120
7111003060
oct31453570
913552323
106707064
113871131
1222b54a0
13150aaa0
14c683a0
158c7429
hex665778

6707064 has 128 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 1700352.

The previous prime is 6707047. The next prime is 6707083. The reversal of 6707064 is 4607076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80767 + ... + 80849.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 26707064 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 6707064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

6707064 is an abundant number, since it is smaller than the sum of its proper divisors (14743176).

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

6707064 is a wasteful number, since it uses less digits than its factorization.

6707064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 6707064 is about 2589.7999922774. The cubic root of 6707064 is about 188.5865939528.

The spelling of 6707064 in words is "six million, seven hundred seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 83 84 91 104 111 148 156 166 168 182 222 249 259 273 296 312 332 364 444 481 498 518 546 581 664 728 777 888 962 996 1036 1079 1092 1162 1443 1554 1743 1924 1992 2072 2158 2184 2324 2886 3071 3108 3237 3367 3486 3848 4316 4648 5772 6142 6216 6474 6734 6972 7553 8632 9213 10101 11544 12284 12948 13468 13944 15106 18426 20202 21497 22659 24568 25896 26936 30212 36852 39923 40404 42994 45318 60424 64491 73704 79846 80808 85988 90636 119769 128982 159692 171976 181272 239538 257964 279461 319384 479076 515928 558922 838383 958152 1117844 1676766 2235688 3353532 6707064