Search a number
BaseRepresentation
bin100111001011001100000
32102012212201
410321121200
5312034210
643302544
713624336
oct4713140
92365781
101283680
117a74a2
1251aa54
1335c398
14255b56
151a553a
hex139660

1283680 has 48 divisors (see below), whose sum is σ = 3102624. Its totient is φ = 501760.

The previous prime is 1283677. The next prime is 1283683. The reversal of 1283680 is 863821.

It is an interprime number because it is at equal distance from previous prime (1283677) and next prime (1283683).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11304 + ... + 11416.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

21283680 is an apocalyptic number.

1283680 is a gapful number since it is divisible by the number (10) 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 1283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312).

1283680 is an abundant number, since it is smaller than the sum of its proper divisors (1818944).

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

1283680 is a wasteful number, since it uses less digits than its factorization.

1283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1283680 is about 1132.9960282366. The cubic root of 1283680 is about 108.6806577809.

The spelling of 1283680 in words is "one million, two hundred eighty-three thousand, six hundred eighty".