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1382480 = 245111571
BaseRepresentation
bin101010001100001010000
32121020101222
411101201100
5323214410
645344212
714515361
oct5214120
92536358
101382480
11864750
12568068
13395348
1427db68
151c4955
hex151850

1382480 has 40 divisors (see below), whose sum is σ = 3508704. Its totient is φ = 502400.

The previous prime is 1382477. The next prime is 1382501. The reversal of 1382480 is 842831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13824802 = 3822501900800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 95 + ... + 1665.

21382480 is an apocalyptic number.

1382480 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 1382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754352).

1382480 is an abundant number, since it is smaller than the sum of its proper divisors (2126224).

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

1382480 is a wasteful number, since it uses less digits than its factorization.

1382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1382480 is about 1175.7890967346. The cubic root of 1382480 is about 111.4002808490.

The spelling of 1382480 in words is "one million, three hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1571 3142 6284 7855 12568 15710 17281 25136 31420 34562 62840 69124 86405 125680 138248 172810 276496 345620 691240 1382480