Search a number
-
+
6678672 = 24371113139
BaseRepresentation
bin11001011110100010010000
3110120022102020
4121132202100
53202204142
6355051440
7110524230
oct31364220
913508366
106678672
113851870
1222a0b80
1314caba0
14c5bcc0
158bdcec
hex65e890

6678672 has 160 divisors (see below), whose sum is σ = 23331840. Its totient is φ = 1589760.

The previous prime is 6678667. The next prime is 6678691. The reversal of 6678672 is 2768766.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47979 + ... + 48117.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 26678672 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 6678672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

6678672 is an abundant number, since it is smaller than the sum of its proper divisors (16653168).

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

6678672 is a wasteful number, since it uses less digits than its factorization.

6678672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 6678672 is about 2584.3126745810. The cubic root of 6678672 is about 188.3201125412.

It can be divided in two parts, 667 and 8672, that added together give a palindrome (9339).

The spelling of 6678672 in words is "six million, six hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 139 143 154 156 168 176 182 208 231 264 273 278 286 308 312 336 364 417 429 462 528 546 556 572 616 624 728 834 858 924 973 1001 1092 1112 1144 1232 1456 1529 1668 1716 1807 1848 1946 2002 2184 2224 2288 2919 3003 3058 3336 3432 3614 3696 3892 4004 4368 4587 5421 5838 6006 6116 6672 6864 7228 7784 8008 9174 10703 10842 11676 12012 12232 12649 14456 15568 16016 18348 19877 21406 21684 23352 24024 24464 25298 28912 32109 36696 37947 39754 42812 43368 46704 48048 50596 59631 64218 73392 75894 79508 85624 86736 101192 119262 128436 139139 151788 159016 171248 202384 238524 256872 278278 303576 318032 417417 477048 513744 556556 607152 834834 954096 1113112 1669668 2226224 3339336 6678672