Search a number
-
+
12780992 = 26747607
BaseRepresentation
bin110000110000…
…010111000000
3220001100020002
4300300113000
511232442432
61133535132
7213431240
oct60602700
926040202
1012780992
11723a604
1243444a8
132856623
1419a9b20
1511c6e62
hexc305c0

12780992 has 56 divisors (see below), whose sum is σ = 29650944. Its totient is φ = 5352192.

The previous prime is 12780983. The next prime is 12781007. The reversal of 12780992 is 29908721.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20753 + ... + 21359.

Almost surely, 212780992 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 12780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825472).

12780992 is an abundant number, since it is smaller than the sum of its proper divisors (16869952).

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

12780992 is an equidigital number, since it uses as much as digits as its factorization.

12780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 12780992 is about 3575.0513283029. The cubic root of 12780992 is about 233.8055705907.

The spelling of 12780992 in words is "twelve million, seven hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 607 658 752 1214 1316 1504 2428 2632 3008 4249 4856 5264 8498 9712 10528 16996 19424 21056 28529 33992 38848 57058 67984 114116 135968 199703 228232 271936 399406 456464 798812 912928 1597624 1825856 3195248 6390496 12780992