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1000896 = 26313401
BaseRepresentation
bin11110100010111000000
31212211222020
43310113000
5224012041
633241440
711336031
oct3642700
91784866
101000896
11623a96
12403280
13290760
141c0a88
1514b866
hexf45c0

1000896 has 56 divisors (see below), whose sum is σ = 2859024. Its totient is φ = 307200.

The previous prime is 1000889. The next prime is 1000907. The reversal of 1000896 is 6980001.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2296 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (51054).

21000896 is an apocalyptic number.

1000896 is a gapful number since it is divisible by the number (16) 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 1000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429512).

1000896 is an abundant number, since it is smaller than the sum of its proper divisors (1858128).

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

1000896 is a wasteful number, since it uses less digits than its factorization.

1000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1000896 is about 1000.4478996929. The cubic root of 1000896 is about 100.0298577509.

Adding to 1000896 its reverse (6980001), we get a palindrome (7980897).

The spelling of 1000896 in words is "one million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 401 416 624 802 832 1203 1248 1604 2406 2496 3208 4812 5213 6416 9624 10426 12832 15639 19248 20852 25664 31278 38496 41704 62556 76992 83408 125112 166816 250224 333632 500448 1000896