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1382220 = 2232571097
BaseRepresentation
bin101010001011101001100
32121020001100
411101131030
5323212340
645343100
714514540
oct5213514
92536040
101382220
11864534
12567a90
133951a8
1427da20
151c4830
hex15174c

1382220 has 72 divisors (see below), whose sum is σ = 4796064. Its totient is φ = 315648.

The previous prime is 1382207. The next prime is 1382221. The reversal of 1382220 is 222831.

It is a happy number.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1382193 and 1382202.

It is not an unprimeable number, because it can be changed into a prime (1382221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (66612).

21382220 is an apocalyptic number.

1382220 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 1382220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398032).

1382220 is an abundant number, since it is smaller than the sum of its proper divisors (3413844).

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

1382220 is a wasteful number, since it uses less digits than its factorization.

1382220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1382220 is about 1175.6785274896. The cubic root of 1382220 is about 111.3932968085.

The spelling of 1382220 in words is "one million, three hundred eighty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1097 1260 2194 3291 4388 5485 6582 7679 9873 10970 13164 15358 16455 19746 21940 23037 30716 32910 38395 39492 46074 49365 65820 69111 76790 92148 98730 115185 138222 153580 197460 230370 276444 345555 460740 691110 1382220