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1382820 = 2235191213
BaseRepresentation
bin101010001100110100100
32121020212120
411101212210
5323222240
645345540
714516355
oct5214644
92536776
101382820
11864a2a
125682b0
1339554a
1427dd2c
151c4ad0
hex1519a4

1382820 has 48 divisors (see below), whose sum is σ = 4079040. Its totient is φ = 349056.

The previous prime is 1382819. The next prime is 1382827. The reversal of 1382820 is 282831.

It is not an unprimeable number, because it can be changed into a prime (1382827) 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, 534 + ... + 1746.

It is an arithmetic number, because the mean of its divisors is an integer number (84980).

21382820 is an apocalyptic number.

1382820 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 1382820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039520).

1382820 is an abundant number, since it is smaller than the sum of its proper divisors (2696220).

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

1382820 is a wasteful number, since it uses less digits than its factorization.

1382820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1382820 is about 1175.9336715989. The cubic root of 1382820 is about 111.4094125039.

The spelling of 1382820 in words is "one million, three hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1213 2426 3639 4852 6065 7278 12130 14556 18195 23047 24260 36390 46094 69141 72780 92188 115235 138282 230470 276564 345705 460940 691410 1382820