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1144000 = 26531113
BaseRepresentation
bin100010111010011000000
32011010021101
410113103000
5243102000
640304144
712503164
oct4272300
92133241
101144000
11711560
12472054
13310930
1421aca4
15178e6a
hex1174c0

1144000 has 112 divisors (see below), whose sum is σ = 3328416. Its totient is φ = 384000.

The previous prime is 1143977. The next prime is 1144001. The reversal of 1144000 is 4411.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87994 + ... + 88006.

It is an arithmetic number, because the mean of its divisors is an integer number (29718).

21144000 is an apocalyptic number.

1144000 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 1144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208).

1144000 is an abundant number, since it is smaller than the sum of its proper divisors (2184416).

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

1144000 is a wasteful number, since it uses less digits than its factorization.

1144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1144000 is about 1069.5793565697. The cubic root of 1144000 is about 104.5864306351.

Adding to 1144000 its reverse (4411), we get a palindrome (1148411).

It can be divided in two parts, 114 and 4000, that added together give a palindrome (4114).

The spelling of 1144000 in words is "one million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 125 130 143 160 176 200 208 220 250 260 275 286 320 325 352 400 416 440 500 520 550 572 650 704 715 800 832 880 1000 1040 1100 1144 1300 1375 1430 1600 1625 1760 2000 2080 2200 2288 2600 2750 2860 3250 3520 3575 4000 4160 4400 4576 5200 5500 5720 6500 7150 8000 8800 9152 10400 11000 11440 13000 14300 17600 17875 20800 22000 22880 26000 28600 35750 44000 45760 52000 57200 71500 88000 104000 114400 143000 228800 286000 572000 1144000