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1121400 = 233252789
BaseRepresentation
bin100010001110001111000
32002222021100
410101301320
5241341100
640011400
712350250
oct4216170
92088240
101121400
116a6585
12460b60
13303567
14212960
15172400
hex111c78

1121400 has 144 divisors (see below), whose sum is σ = 4352400. Its totient is φ = 253440.

The previous prime is 1121389. The next prime is 1121423. The reversal of 1121400 is 41211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12556 + ... + 12644.

It is an arithmetic number, because the mean of its divisors is an integer number (30225).

21121400 is an apocalyptic number.

1121400 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 1121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176200).

1121400 is an abundant number, since it is smaller than the sum of its proper divisors (3231000).

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

1121400 is a wasteful number, since it uses less digits than its factorization.

1121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1121400 is about 1058.9617556834. The cubic root of 1121400 is about 103.8931348042.

Adding to 1121400 its reverse (41211), we get a palindrome (1162611).

It can be divided in two parts, 1121 and 400, that added together give a square (1521 = 392).

The spelling of 1121400 in words is "one million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 89 90 100 105 120 126 140 150 168 175 178 180 200 210 225 252 267 280 300 315 350 356 360 420 445 450 504 525 534 600 623 630 700 712 801 840 890 900 1050 1068 1246 1260 1335 1400 1575 1602 1780 1800 1869 2100 2136 2225 2492 2520 2670 3115 3150 3204 3560 3738 4005 4200 4450 4984 5340 5607 6230 6300 6408 6675 7476 8010 8900 9345 10680 11214 12460 12600 13350 14952 15575 16020 17800 18690 20025 22428 24920 26700 28035 31150 32040 37380 40050 44856 46725 53400 56070 62300 74760 80100 93450 112140 124600 140175 160200 186900 224280 280350 373800 560700 1121400