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1134120 = 233513727
BaseRepresentation
bin100010100111000101000
32010121201110
410110320220
5242242440
640150320
712432321
oct4247050
92117643
101134120
11705099
124683a0
133092a0
14217448
15176080
hex114e28

1134120 has 64 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 278784.

The previous prime is 1134113. The next prime is 1134137. The reversal of 1134120 is 214311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1134096 and 1134105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

21134120 is an apocalyptic number.

1134120 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 1134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

1134120 is an abundant number, since it is smaller than the sum of its proper divisors (2535000).

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

1134120 is a wasteful number, since it uses less digits than its factorization.

1134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1134120 is about 1064.9507030844. The cubic root of 1134120 is about 104.2844775519.

Adding to 1134120 its reverse (214311), we get a palindrome (1348431).

The spelling of 1134120 in words is "one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 727 780 1454 1560 2181 2908 3635 4362 5816 7270 8724 9451 10905 14540 17448 18902 21810 28353 29080 37804 43620 47255 56706 75608 87240 94510 113412 141765 189020 226824 283530 378040 567060 1134120