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1140000 = 2535419
BaseRepresentation
bin100010110010100100000
32010220210020
410112110200
5242440000
640233440
712455421
oct4262440
92126706
101140000
11709554
1246b880
1330bb74
14219648
15177ba0
hex116520

1140000 has 120 divisors (see below), whose sum is σ = 3936240. Its totient is φ = 288000.

The previous prime is 1139993. The next prime is 1140091. The reversal of 1140000 is 411.

1140000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59991 + ... + 60009.

It is an arithmetic number, because the mean of its divisors is an integer number (32802).

21140000 is an apocalyptic number.

1140000 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 1140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968120).

1140000 is an abundant number, since it is smaller than the sum of its proper divisors (2796240).

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

1140000 is an equidigital number, since it uses as much as digits as its factorization.

1140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1140000 is about 1067.7078252031. The cubic root of 1140000 is about 104.4643926822.

Adding to 1140000 its reverse (411), we get a palindrome (1140411).

The spelling of 1140000 in words is "one million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 125 150 152 160 190 200 228 240 250 285 300 304 375 380 400 456 475 480 500 570 600 608 625 750 760 800 912 950 1000 1140 1200 1250 1425 1500 1520 1824 1875 1900 2000 2280 2375 2400 2500 2850 3000 3040 3750 3800 4000 4560 4750 5000 5700 6000 7125 7500 7600 9120 9500 10000 11400 11875 12000 14250 15000 15200 19000 20000 22800 23750 28500 30000 35625 38000 45600 47500 57000 60000 71250 76000 95000 114000 142500 190000 228000 285000 380000 570000 1140000