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1128420 = 223256269
BaseRepresentation
bin100010011011111100100
32010022220100
410103133210
5242102140
640104100
712406566
oct4233744
92108810
101128420
11700887
12465030
13306807
14215336
15174530
hex1137e4

1128420 has 36 divisors (see below), whose sum is σ = 3423420. Its totient is φ = 300864.

The previous prime is 1128397. The next prime is 1128427. The reversal of 1128420 is 248211.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 746496 = 618^2 + 864^2 .

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 = 1128393 and 1128402.

It is not an unprimeable number, because it can be changed into a prime (1128427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2955 + ... + 3314.

It is an arithmetic number, because the mean of its divisors is an integer number (95095).

21128420 is an apocalyptic number.

1128420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1128420 is an abundant number, since it is smaller than the sum of its proper divisors (2295000).

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

1128420 is a wasteful number, since it uses less digits than its factorization.

1128420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1128420 is about 1062.2711518252. The cubic root of 1128420 is about 104.1094754502.

The spelling of 1128420 in words is "one million, one hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6269 12538 18807 25076 31345 37614 56421 62690 75228 94035 112842 125380 188070 225684 282105 376140 564210 1128420