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1287660 = 2235111951
BaseRepresentation
bin100111010010111101100
32102102100010
410322113230
5312201120
643333220
713642053
oct4722754
92372303
101287660
117aa490
12521210
1336113a
1425739a
151a67e0
hex13a5ec

1287660 has 48 divisors (see below), whose sum is σ = 3935232. Its totient is φ = 312000.

The previous prime is 1287623. The next prime is 1287661. The reversal of 1287660 is 667821.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1287661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (81984).

21287660 is an apocalyptic number.

1287660 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 1287660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967616).

1287660 is an abundant number, since it is smaller than the sum of its proper divisors (2647572).

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

1287660 is a wasteful number, since it uses less digits than its factorization.

1287660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1287660 is about 1134.7510740246. The cubic root of 1287660 is about 108.7928619524.

It can be divided in two parts, 1 and 287660, that added together give a triangular number (287661 = T758).

The spelling of 1287660 in words is "one million, two hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1951 3902 5853 7804 9755 11706 19510 21461 23412 29265 39020 42922 58530 64383 85844 107305 117060 128766 214610 257532 321915 429220 643830 1287660