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1131620 = 225759137
BaseRepresentation
bin100010100010001100100
32010111021212
410110101210
5242202440
640130552
712422120
oct4242144
92114255
101131620
11703226
12466a58
133080c9
14216580
15175465
hex114464

1131620 has 48 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 378624.

The previous prime is 1131617. The next prime is 1131629. The reversal of 1131620 is 261311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1131595 and 1131604.

It is not an unprimeable number, because it can be changed into a prime (1131629) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8192 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

21131620 is an apocalyptic number.

1131620 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 1131620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040).

1131620 is an abundant number, since it is smaller than the sum of its proper divisors (1650460).

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

1131620 is a wasteful number, since it uses less digits than its factorization.

1131620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1131620 is about 1063.7762922720. The cubic root of 1131620 is about 104.2077946038.

Adding to 1131620 its reverse (261311), we get a palindrome (1392931).

The spelling of 1131620 in words is "one million, one hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 137 140 236 274 295 413 548 590 685 826 959 1180 1370 1652 1918 2065 2740 3836 4130 4795 8083 8260 9590 16166 19180 32332 40415 56581 80830 113162 161660 226324 282905 565810 1131620