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1212896 = 25291307
BaseRepresentation
bin100101000000111100000
32021121210002
410220013200
5302303041
641555132
713211066
oct4500740
92247702
101212896
117592a3
124a5aa8
133360b9
14238036
1518e59b
hex1281e0

1212896 has 24 divisors (see below), whose sum is σ = 2472120. Its totient is φ = 585088.

The previous prime is 1212889. The next prime is 1212907. The reversal of 1212896 is 6982121.

It is a super-2 number, since 2×12128962 = 2942233413632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 275 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (103005).

21212896 is an apocalyptic number.

1212896 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 1212896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236060).

1212896 is an abundant number, since it is smaller than the sum of its proper divisors (1259224).

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

1212896 is a wasteful number, since it uses less digits than its factorization.

1212896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 1212896 is about 1101.3155769351. The cubic root of 1212896 is about 106.6451692789.

The spelling of 1212896 in words is "one million, two hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1307 2614 5228 10456 20912 37903 41824 75806 151612 303224 606448 1212896