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1382920 = 235711449
BaseRepresentation
bin101010001101000001000
32121021000021
411101220020
5323223140
645350224
714516560
oct5215010
92537007
101382920
11865010
12568374
133955c6
1427dda0
151c4b4a
hex151a08

1382920 has 64 divisors (see below), whose sum is σ = 3888000. Its totient is φ = 430080.

The previous prime is 1382893. The next prime is 1382939. The reversal of 1382920 is 292831.

It is a congruent number.

It is an unprimeable number.

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, 2856 + ... + 3304.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

21382920 is an apocalyptic number.

1382920 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 1382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944000).

1382920 is an abundant number, since it is smaller than the sum of its proper divisors (2505080).

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

1382920 is a wasteful number, since it uses less digits than its factorization.

1382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1382920 is about 1175.9761902352. The cubic root of 1382920 is about 111.4120979999.

The spelling of 1382920 in words is "one million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 449 616 770 898 1540 1796 2245 3080 3143 3592 4490 4939 6286 8980 9878 12572 15715 17960 19756 24695 25144 31430 34573 39512 49390 62860 69146 98780 125720 138292 172865 197560 276584 345730 691460 1382920