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1290320 = 2451272
BaseRepresentation
bin100111011000001010000
32102112222122
410323001100
5312242240
643353412
713652603
oct4730120
92375878
101290320
11801489
12522868
13362405
1425833a
151a74b5
hex13b050

1290320 has 30 divisors (see below), whose sum is σ = 3023802. Its totient is φ = 512064.

The previous prime is 1290319. The next prime is 1290329. The reversal of 1290320 is 230921.

It can be written as a sum of positive squares in only one way, i.e., 1032256 + 258064 = 1016^2 + 508^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10097 + ... + 10223.

21290320 is an apocalyptic number.

1290320 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 1290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511901).

1290320 is an abundant number, since it is smaller than the sum of its proper divisors (1733482).

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

1290320 is an equidigital number, since it uses as much as digits as its factorization.

1290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1290320 is about 1135.9225325699. The cubic root of 1290320 is about 108.8677238392.

The spelling of 1290320 in words is "one million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 16129 32258 64516 80645 129032 161290 258064 322580 645160 1290320