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1380420 = 223257669
BaseRepresentation
bin101010001000001000100
32121010120200
411101001010
5323133140
645330500
714506356
oct5210104
92533520
101380420
11863148
12566a30
13394422
1427d0d6
151c4030
hex151044

1380420 has 36 divisors (see below), whose sum is σ = 4187820. Its totient is φ = 368064.

The previous prime is 1380419. The next prime is 1380427. The reversal of 1380420 is 240831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 968256 + 412164 = 984^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1380393 and 1380402.

It is not an unprimeable number, because it can be changed into a prime (1380427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3655 + ... + 4014.

21380420 is an apocalyptic number.

1380420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1380420 is an abundant number, since it is smaller than the sum of its proper divisors (2807400).

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

1380420 is a wasteful number, since it uses less digits than its factorization.

1380420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7679 counting only the distinct ones).

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

The square root of 1380420 is about 1174.9127627190. The cubic root of 1380420 is about 111.3449217223.

It can be divided in two parts, 13804 and 20, that added together give a cube (13824 = 243).

The spelling of 1380420 in words is "one million, three hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7669 15338 23007 30676 38345 46014 69021 76690 92028 115035 138042 153380 230070 276084 345105 460140 690210 1380420