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1128240 = 243251567
BaseRepresentation
bin100010011011100110000
32010022122200
410103130300
5242100430
640103200
712406221
oct4233460
92108580
101128240
11700733
12464b00
133066c9
14215248
15174460
hex113730

1128240 has 60 divisors (see below), whose sum is σ = 3791424. Its totient is φ = 300672.

The previous prime is 1128233. The next prime is 1128247. The reversal of 1128240 is 428211.

It is an interprime number because it is at equal distance from previous prime (1128233) and next prime (1128247).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (1128247) 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, 64 + ... + 1503.

21128240 is an apocalyptic number.

1128240 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 1128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895712).

1128240 is an abundant number, since it is smaller than the sum of its proper divisors (2663184).

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

1128240 is a wasteful number, since it uses less digits than its factorization.

1128240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

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

The square root of 1128240 is about 1062.1864243154. The cubic root of 1128240 is about 104.1039394789.

The spelling of 1128240 in words is "one million, one hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1567 3134 4701 6268 7835 9402 12536 14103 15670 18804 23505 25072 28206 31340 37608 47010 56412 62680 70515 75216 94020 112824 125360 141030 188040 225648 282060 376080 564120 1128240