Search a number
-
+
1291680 = 253351323
BaseRepresentation
bin100111011010110100000
32102121212000
410323112200
5312313210
643404000
713656555
oct4732640
92377760
101291680
11802505
12523600
13362c10
14258a2c
151a7ac0
hex13b5a0

1291680 has 192 divisors, whose sum is σ = 5080320. Its totient is φ = 304128.

The previous prime is 1291673. The next prime is 1291691. The reversal of 1291680 is 861921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56149 + ... + 56171.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

21291680 is an apocalyptic number.

1291680 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 1291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1291680 is an abundant number, since it is smaller than the sum of its proper divisors (3788640).

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

1291680 is a wasteful number, since it uses less digits than its factorization.

1291680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1291680 is about 1136.5210072850. The cubic root of 1291680 is about 108.9059593457.

It can be divided in two parts, 12916 and 80, that added together give a square (12996 = 1142).

The spelling of 1291680 in words is "one million, two hundred ninety-one thousand, six hundred eighty".