Search a number
-
+
12689472 = 263294353
BaseRepresentation
bin110000011010…
…000001000000
3212212200200110
4300122001000
511222030342
61131551320
7212600355
oct60320100
925780613
1012689472
117187874
1242bb540
132823a83
14198462c
1511a9c9c
hexc1a040

12689472 has 112 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 3913728.

The previous prime is 12689423. The next prime is 12689477. The reversal of 12689472 is 27498621.

It is a super-2 number, since 2×126894722 = 322045399277568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12689472.

It is not an unprimeable number, because it can be changed into a prime (12689477) 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, 239398 + ... + 239450.

Almost surely, 212689472 is an apocalyptic number.

12689472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105120).

12689472 is an abundant number, since it is smaller than the sum of its proper divisors (23520768).

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

12689472 is a wasteful number, since it uses less digits than its factorization.

12689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 12689472 is about 3562.2285159714. The cubic root of 12689472 is about 233.2461678955.

It can be divided in two parts, 126 and 89472, that added together give a palindrome (89598).

The spelling of 12689472 in words is "twelve million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 53 58 64 86 87 96 106 116 129 159 172 174 192 212 232 258 318 344 348 424 464 516 636 688 696 848 928 1032 1247 1272 1376 1392 1537 1696 1856 2064 2279 2494 2544 2752 2784 3074 3392 3741 4128 4558 4611 4988 5088 5568 6148 6837 7482 8256 9116 9222 9976 10176 12296 13674 14964 18232 18444 19952 24592 27348 29928 36464 36888 39904 49184 54696 59856 66091 72928 73776 79808 98368 109392 119712 132182 145856 147552 198273 218784 239424 264364 295104 396546 437568 528728 793092 1057456 1586184 2114912 3172368 4229824 6344736 12689472