Search a number
-
+
12943872 = 2932532
BaseRepresentation
bin110001011000…
…001000000000
3220100121122200
4301120020000
511303200442
61141233200
7215010144
oct61301000
926317580
1012943872
117340a17
124402800
1328b27c6
141a0d224
15120a34c
hexc58200

12943872 has 90 divisors (see below), whose sum is σ = 38075037. Its totient is φ = 4233216.

The previous prime is 12943867. The next prime is 12943873. The reversal of 12943872 is 27834921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 665856 = 3504^2 + 816^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12943873) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 244198 + ... + 244250.

Almost surely, 212943872 is an apocalyptic number.

12943872 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 12943872

12943872 is an abundant number, since it is smaller than the sum of its proper divisors (25131165).

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

12943872 is an frugal number, since it uses more digits than its factorization.

12943872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12943872 is about 3597.7593026772. The cubic root of 12943872 is about 234.7945813182.

The spelling of 12943872 in words is "twelve million, nine hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 2809 3392 3816 4608 5088 5618 6784 7632 8427 10176 11236 13568 15264 16854 20352 22472 25281 27136 30528 33708 40704 44944 50562 61056 67416 81408 89888 101124 122112 134832 179776 202248 244224 269664 359552 404496 539328 719104 808992 1078656 1438208 1617984 2157312 3235968 4314624 6471936 12943872