Search a number
-
+
6317472 = 253721779
BaseRepresentation
bin11000000110010110100000
3102212221221110
4120012112200
53104124342
6343223320
7104461200
oct30062640
912787843
106317472
113625457
122147b40
131402665
14ba6400
1584bc9c
hex6065a0

6317472 has 144 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 1677312.

The previous prime is 6317471. The next prime is 6317473. The reversal of 6317472 is 2747136.

It is an interprime number because it is at equal distance from previous prime (6317471) and next prime (6317473).

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6317471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79929 + ... + 80007.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 26317472 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 6317472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

6317472 is an abundant number, since it is smaller than the sum of its proper divisors (14366688).

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

6317472 is a wasteful number, since it uses less digits than its factorization.

6317472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

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

The square root of 6317472 is about 2513.4581755024. The cubic root of 6317472 is about 184.8620544587.

The spelling of 6317472 in words is "six million, three hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 79 84 96 98 102 112 119 136 147 158 168 196 204 224 237 238 272 294 316 336 357 392 408 474 476 544 553 588 632 672 714 784 816 833 948 952 1106 1176 1264 1343 1428 1568 1632 1659 1666 1896 1904 2212 2352 2499 2528 2686 2856 3318 3332 3792 3808 3871 4029 4424 4704 4998 5372 5712 6636 6664 7584 7742 8058 8848 9401 9996 10744 11424 11613 13272 13328 15484 16116 17696 18802 19992 21488 23226 26544 26656 28203 30968 32232 37604 39984 42976 46452 53088 56406 61936 64464 65807 75208 79968 92904 112812 123872 128928 131614 150416 185808 197421 225624 263228 300832 371616 394842 451248 526456 789684 902496 1052912 1579368 2105824 3158736 6317472