Search a number
-
+
12680442 = 233432127
BaseRepresentation
bin110000010111…
…110011111010
3212212020022000
4300113303322
511221233232
61131441430
7212532135
oct60276372
925766260
1012680442
117181005
1242b6276
13281c928
14198121c
1511a727c
hexc17cfa

12680442 has 48 divisors (see below), whose sum is σ = 29076480. Its totient is φ = 4096008.

The previous prime is 12680441. The next prime is 12680443. The reversal of 12680442 is 24408621.

It is an interprime number because it is at equal distance from previous prime (12680441) and next prime (12680443).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12680441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99783 + ... + 99909.

It is an arithmetic number, because the mean of its divisors is an integer number (605760).

Almost surely, 212680442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12680442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538240).

12680442 is an abundant number, since it is smaller than the sum of its proper divisors (16396038).

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

12680442 is a wasteful number, since it uses less digits than its factorization.

12680442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12680442 is about 3560.9608253953. The cubic root of 12680442 is about 233.1908277233.

The spelling of 12680442 in words is "twelve million, six hundred eighty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 127 129 254 258 381 387 762 774 1143 1161 1849 2286 2322 3429 3698 5461 5547 6858 10922 11094 16383 16641 32766 33282 49149 49923 98298 99846 147447 234823 294894 469646 704469 1408938 2113407 4226814 6340221 12680442