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1331820 = 2232572151
BaseRepresentation
bin101000101001001101100
32111122220200
411011021230
5320104240
644313500
714214600
oct5051154
92448820
101331820
1182a686
12542890
13378279
14269500
151b4930
hex14526c

1331820 has 108 divisors (see below), whose sum is σ = 4730544. Its totient is φ = 302400.

The previous prime is 1331801. The next prime is 1331821. The reversal of 1331820 is 281331.

It is a Harshad number since it is a multiple of its sum of digits (18).

1331820 is a Rhonda number in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1331793 and 1331802.

It is not an unprimeable number, because it can be changed into a prime (1331821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8745 + ... + 8895.

21331820 is an apocalyptic number.

1331820 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 1331820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365272).

1331820 is an abundant number, since it is smaller than the sum of its proper divisors (3398724).

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

1331820 is a wasteful number, since it uses less digits than its factorization.

1331820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1331820 is about 1154.0450597789. The cubic root of 1331820 is about 110.0225848943.

It can be divided in two parts, 133 and 1820, that added together give a triangular number (1953 = T62).

The spelling of 1331820 in words is "one million, three hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 151 180 196 210 245 252 294 302 315 420 441 453 490 588 604 630 735 755 882 906 980 1057 1260 1359 1470 1510 1764 1812 2114 2205 2265 2718 2940 3020 3171 4228 4410 4530 5285 5436 6342 6795 7399 8820 9060 9513 10570 12684 13590 14798 15855 19026 21140 22197 27180 29596 31710 36995 38052 44394 47565 63420 66591 73990 88788 95130 110985 133182 147980 190260 221970 266364 332955 443940 665910 1331820