Search a number
-
+
12701472 = 253741461
BaseRepresentation
bin110000011100…
…111100100000
3212220022010220
4300130330200
511222421342
61132123040
7212650350
oct60347440
925808126
1012701472
117195893
124306480
132829384
141988b60
1511ad5ec
hexc1cf20

12701472 has 96 divisors (see below), whose sum is σ = 39118464. Its totient is φ = 3532800.

The previous prime is 12701453. The next prime is 12701473. The reversal of 12701472 is 27410721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×127014722 = 322654781933568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (12701473) 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, 27322 + ... + 27782.

It is an arithmetic number, because the mean of its divisors is an integer number (407484).

Almost surely, 212701472 is an apocalyptic number.

12701472 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 12701472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559232).

12701472 is an abundant number, since it is smaller than the sum of its proper divisors (26416992).

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

12701472 is a wasteful number, since it uses less digits than its factorization.

12701472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 12701472 is about 3563.9124568373. The cubic root of 12701472 is about 233.3196690411.

The spelling of 12701472 in words is "twelve million, seven hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 461 492 574 656 672 861 922 984 1148 1312 1383 1722 1844 1968 2296 2766 3227 3444 3688 3936 4592 5532 6454 6888 7376 9184 9681 11064 12908 13776 14752 18901 19362 22128 25816 27552 37802 38724 44256 51632 56703 75604 77448 103264 113406 132307 151208 154896 226812 264614 302416 309792 396921 453624 529228 604832 793842 907248 1058456 1587684 1814496 2116912 3175368 4233824 6350736 12701472