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1012896 = 25323517
BaseRepresentation
bin11110111010010100000
31220110102200
43313102200
5224403041
633413200
711416023
oct3672240
91813380
101012896
11632005
1240a200
13296061
141c51ba
151501b6
hexf74a0

1012896 has 36 divisors (see below), whose sum is σ = 2881242. Its totient is φ = 337536.

The previous prime is 1012861. The next prime is 1012903. The reversal of 1012896 is 6982101.

1012896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 404496 = 780^2 + 636^2 .

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

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, 1471 + ... + 2046.

21012896 is an apocalyptic number.

1012896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1012896 is an abundant number, since it is smaller than the sum of its proper divisors (1868346).

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

1012896 is a wasteful number, since it uses less digits than its factorization.

1012896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1012896 is about 1006.4273446206. The cubic root of 1012896 is about 100.4280319392.

Adding to 1012896 its reverse (6982101), we get a palindrome (7994997).

The spelling of 1012896 in words is "one million, twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3517 7034 10551 14068 21102 28136 31653 42204 56272 63306 84408 112544 126612 168816 253224 337632 506448 1012896