Search a number
-
+
1297660 = 2257132331
BaseRepresentation
bin100111100110011111100
32102221001111
410330303330
5313011120
643451404
714013160
oct4746374
92387044
101297660
11806a51
12526b64
13365860
1425aca0
151a975a
hex13ccfc

1297660 has 96 divisors (see below), whose sum is σ = 3612672. Its totient is φ = 380160.

The previous prime is 1297657. The next prime is 1297669. The reversal of 1297660 is 667921.

1297660 = T279 + T280 + ... + T308.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41845 + ... + 41875.

It is an arithmetic number, because the mean of its divisors is an integer number (37632).

21297660 is an apocalyptic number.

1297660 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 1297660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806336).

1297660 is an abundant number, since it is smaller than the sum of its proper divisors (2315012).

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

1297660 is a wasteful number, since it uses less digits than its factorization.

1297660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1297660 is about 1139.1488050294. The cubic root of 1297660 is about 109.0737654036.

The spelling of 1297660 in words is "one million, two hundred ninety-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 31 35 46 52 62 65 70 91 92 115 124 130 140 155 161 182 217 230 260 299 310 322 364 403 434 455 460 598 620 644 713 805 806 868 910 1085 1196 1426 1495 1610 1612 1820 2015 2093 2170 2821 2852 2990 3220 3565 4030 4186 4340 4991 5642 5980 7130 8060 8372 9269 9982 10465 11284 14105 14260 18538 19964 20930 24955 28210 37076 41860 46345 49910 56420 64883 92690 99820 129766 185380 259532 324415 648830 1297660