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1321020 = 2232541179
BaseRepresentation
bin101000010100000111100
32111010002200
411002200330
5314233040
644151500
714141241
oct5024074
92433080
101321020
11822558
12538590
1337338c
142655c8
151b1630
hex14283c

1321020 has 72 divisors (see below), whose sum is σ = 4127760. Its totient is φ = 341760.

The previous prime is 1321007. The next prime is 1321031. The reversal of 1321020 is 201231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1320993 and 1321011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7291 + ... + 7469.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

21321020 is an apocalyptic number.

1321020 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 1321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880).

1321020 is an abundant number, since it is smaller than the sum of its proper divisors (2806740).

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

1321020 is a wasteful number, since it uses less digits than its factorization.

1321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1321020 is about 1149.3563416104. The cubic root of 1321020 is about 109.7243788380.

Adding to 1321020 its reverse (201231), we get a palindrome (1522251).

The spelling of 1321020 in words is "one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 179 180 205 246 358 369 410 492 537 615 716 738 820 895 1074 1230 1476 1611 1790 1845 2148 2460 2685 3222 3580 3690 5370 6444 7339 7380 8055 10740 14678 16110 22017 29356 32220 36695 44034 66051 73390 88068 110085 132102 146780 220170 264204 330255 440340 660510 1321020