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1128120 = 233571779
BaseRepresentation
bin100010011011010111000
32010022111020
410103122320
5242044440
640102440
712405660
oct4233270
92108436
101128120
11700634
12464a20
13306636
142151a0
151743d0
hex1136b8

1128120 has 128 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 239616.

The previous prime is 1128109. The next prime is 1128143. The reversal of 1128120 is 218211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1128120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14241 + ... + 14319.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

21128120 is an apocalyptic number.

1128120 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 1128120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1128120 is an abundant number, since it is smaller than the sum of its proper divisors (3019080).

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

1128120 is a wasteful number, since it uses less digits than its factorization.

1128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1128120 is about 1062.1299355540. The cubic root of 1128120 is about 104.1002485043.

Subtracting from 1128120 its reverse (218211), we obtain a palindrome (909909).

The spelling of 1128120 in words is "one million, one hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 79 84 85 102 105 119 120 136 140 158 168 170 204 210 237 238 255 280 316 340 357 395 408 420 474 476 510 553 595 632 680 714 790 840 948 952 1020 1106 1185 1190 1343 1428 1580 1659 1785 1896 2040 2212 2370 2380 2686 2765 2856 3160 3318 3570 4029 4424 4740 4760 5372 5530 6636 6715 7140 8058 8295 9401 9480 10744 11060 13272 13430 14280 16116 16590 18802 20145 22120 26860 28203 32232 33180 37604 40290 47005 53720 56406 66360 75208 80580 94010 112812 141015 161160 188020 225624 282030 376040 564060 1128120