Search a number
-
+
12874752 = 2103211127
BaseRepresentation
bin110001000111…
…010000000000
3220020002211200
4301013100000
511243443002
61135541200
7214301502
oct61072000
926202750
1012874752
1172a3aa0
12438a800
13288a1c7
1419d1d72
1511e4b1c
hexc47400

12874752 has 132 divisors (see below), whose sum is σ = 40874496. Its totient is φ = 3870720.

The previous prime is 12874751. The next prime is 12874769. The reversal of 12874752 is 25747821.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101313 + ... + 101439.

Almost surely, 212874752 is an apocalyptic number.

12874752 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 12874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437248).

12874752 is an abundant number, since it is smaller than the sum of its proper divisors (27999744).

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

12874752 is a wasteful number, since it uses less digits than its factorization.

12874752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 12874752 is about 3588.1404654779. The cubic root of 12874752 is about 234.3759025032.

The spelling of 12874752 in words is "twelve million, eight hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 127 128 132 144 176 192 198 254 256 264 288 352 381 384 396 508 512 528 576 704 762 768 792 1016 1024 1056 1143 1152 1397 1408 1524 1536 1584 2032 2112 2286 2304 2794 2816 3048 3072 3168 4064 4191 4224 4572 4608 5588 5632 6096 6336 8128 8382 8448 9144 9216 11176 11264 12192 12573 12672 16256 16764 16896 18288 22352 24384 25146 25344 32512 33528 33792 36576 44704 48768 50292 50688 65024 67056 73152 89408 97536 100584 101376 130048 134112 146304 178816 195072 201168 268224 292608 357632 390144 402336 536448 585216 715264 804672 1072896 1170432 1430528 1609344 2145792 3218688 4291584 6437376 12874752