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1286145 = 33571361
BaseRepresentation
bin100111010000000000001
32102100021000
410322000001
5312124040
643322213
713634460
oct4720001
92370230
101286145
117a9333
12520369
13360543
142569d7
151a6130
hex13a001

1286145 has 32 divisors (see below), whose sum is σ = 2615040. Its totient is φ = 587520.

The previous prime is 1286119. The next prime is 1286147. The reversal of 1286145 is 5416821.

It is not a de Polignac number, because 1286145 - 26 = 1286081 is a prime.

It is a super-2 number, since 2×12861452 = 3308337922050, which contains 22 as substring.

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 (1286147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (81720).

It is a Proth number, since it is equal to 157 ⋅ 213 + 1 and 157 < 213.

21286145 is an apocalyptic number.

1286145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1286145 is an abundant number, since it is smaller than the sum of its proper divisors (1328895).

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

1286145 is a wasteful number, since it uses less digits than its factorization.

1286145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1286145 is about 1134.0833302716. The cubic root of 1286145 is about 108.7501783588.

It can be divided in two parts, 1286 and 145, that added together give a triangular number (1431 = T53).

The spelling of 1286145 in words is "one million, two hundred eighty-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1361 4083 6805 9527 12249 20415 28581 36747 47635 61245 85743 142905 183735 257229 428715 1286145