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1290496 = 28712
BaseRepresentation
bin100111011000100000000
32102120020011
410323010000
5312243441
643354304
713653244
oct4730400
92376204
101290496
11801629
12522994
1336250c
14258424
151a7581
hex13b100

1290496 has 27 divisors (see below), whose sum is σ = 2612743. Its totient is φ = 636160.

The previous prime is 1290491. The next prime is 1290503. The reversal of 1290496 is 6940921.

It is a happy number.

The square root of 1290496 is 1136.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18141 + ... + 18211.

21290496 is an apocalyptic number.

1290496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1290496 is the 1136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290496

1290496 is an abundant number, since it is smaller than the sum of its proper divisors (1322247).

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

1290496 is an frugal number, since it uses more digits than its factorization.

1290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The cubic root of 1290496 is about 108.8726734766.

The spelling of 1290496 in words is "one million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 4544 5041 9088 10082 18176 20164 40328 80656 161312 322624 645248 1290496