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1338820 = 225773131
BaseRepresentation
bin101000110110111000100
32112000111221
411012313010
5320320240
644410124
714244160
oct5066704
92460457
101338820
1183496a
12546944
1337b502
1426bca0
151b6a4a
hex146dc4

1338820 has 48 divisors (see below), whose sum is σ = 3282048. Its totient is φ = 449280.

The previous prime is 1338811. The next prime is 1338823. The reversal of 1338820 is 288331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10155 + ... + 10285.

It is an arithmetic number, because the mean of its divisors is an integer number (68376).

21338820 is an apocalyptic number.

1338820 is a gapful number since it is divisible by the number (10) 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 1338820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641024).

1338820 is an abundant number, since it is smaller than the sum of its proper divisors (1943228).

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

1338820 is a wasteful number, since it uses less digits than its factorization.

1338820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1338820 is about 1157.0738956523. The cubic root of 1338820 is about 110.2150064709.

The spelling of 1338820 in words is "one million, three hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 131 140 146 262 292 365 511 524 655 730 917 1022 1310 1460 1834 2044 2555 2620 3668 4585 5110 9170 9563 10220 18340 19126 38252 47815 66941 95630 133882 191260 267764 334705 669410 1338820