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1620896 = 25373
BaseRepresentation
bin110001011101110100000
310001100110012
412023232200
5403332041
654424052
716530434
oct6135640
93040405
101620896
11a07892
12662028
13449a14
143029c4
152203eb
hex18bba0

1620896 has 24 divisors (see below), whose sum is σ = 3279780. Its totient is φ = 788544.

The previous prime is 1620893. The next prime is 1620917. The reversal of 1620896 is 6980261.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1488400 + 132496 = 1220^2 + 364^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1620893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43790 + ... + 43826.

21620896 is an apocalyptic number.

1620896 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 1620896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639890).

1620896 is an abundant number, since it is smaller than the sum of its proper divisors (1658884).

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

1620896 is an frugal number, since it uses more digits than its factorization.

1620896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1620896 is about 1273.1441395223. The cubic root of 1620896 is about 117.4676778456.

1620896 divided by its sum of digits (32) gives a cube (50653 = 373).

The spelling of 1620896 in words is "one million, six hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1369 2738 5476 10952 21904 43808 50653 101306 202612 405224 810448 1620896