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1290528 = 25324481
BaseRepresentation
bin100111011000100100000
32102120021100
410323010200
5312244103
643354400
713653321
oct4730440
92376240
101290528
11801658
12522a00
13362535
14258448
151a75a3
hex13b120

1290528 has 36 divisors (see below), whose sum is σ = 3670758. Its totient is φ = 430080.

The previous prime is 1290503. The next prime is 1290533. The reversal of 1290528 is 8250921.

It can be written as a sum of positive squares in only one way, i.e., 944784 + 345744 = 972^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1953 + ... + 2528.

21290528 is an apocalyptic number.

1290528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1290528 is an abundant number, since it is smaller than the sum of its proper divisors (2380230).

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

1290528 is a wasteful number, since it uses less digits than its factorization.

1290528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1290528 is about 1136.0140844197. The cubic root of 1290528 is about 108.8735733623.

The spelling of 1290528 in words is "one million, two hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4481 8962 13443 17924 26886 35848 40329 53772 71696 80658 107544 143392 161316 215088 322632 430176 645264 1290528