Search a number
-
+
1065420 = 223351973
BaseRepresentation
bin100000100000111001100
32000010111000
410010013030
5233043140
634500300
712025116
oct4040714
92003430
101065420
11668514
12434690
132b3c35
141da3b6
15160a30
hex1041cc

1065420 has 48 divisors (see below), whose sum is σ = 3316320. Its totient is φ = 283968.

The previous prime is 1065409. The next prime is 1065433. The reversal of 1065420 is 245601.

1065420 = T120 + T121 + ... + T200.

It is a happy number.

1065420 is a `hidden beast` number, since 10 + 654 + 2 + 0 = 666.

It is a super-2 number, since 2×10654202 = 2270239552800, which contains 22 as substring.

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 = 1065393 and 1065402.

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, 447 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (69090).

21065420 is an apocalyptic number.

1065420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1065420 is an abundant number, since it is smaller than the sum of its proper divisors (2250900).

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

1065420 is a wasteful number, since it uses less digits than its factorization.

1065420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1065420 is about 1032.1918426339. The cubic root of 1065420 is about 102.1347699504.

It can be divided in two parts, 1065 and 420, that added together give a triangular number (1485 = T54).

The spelling of 1065420 in words is "one million, sixty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1973 3946 5919 7892 9865 11838 17757 19730 23676 29595 35514 39460 53271 59190 71028 88785 106542 118380 177570 213084 266355 355140 532710 1065420