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1145880 = 233351061
BaseRepresentation
bin100010111110000011000
32011012212000
410113300120
5243132010
640321000
712511521
oct4276030
92135760
101145880
11712a0a
12473160
13311748
1421b848
151797c0
hex117c18

1145880 has 64 divisors (see below), whose sum is σ = 3823200. Its totient is φ = 305280.

The previous prime is 1145873. The next prime is 1145897. The reversal of 1145880 is 885411.

1145880 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 550 + ... + 1610.

21145880 is an apocalyptic number.

1145880 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 1145880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911600).

1145880 is an abundant number, since it is smaller than the sum of its proper divisors (2677320).

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

1145880 is a wasteful number, since it uses less digits than its factorization.

1145880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1145880 is about 1070.4578459706. The cubic root of 1145880 is about 104.6436902158.

It can be divided in two parts, 1145 and 880, that added together give a square (2025 = 452).

The spelling of 1145880 in words is "one million, one hundred forty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1061 1080 2122 3183 4244 5305 6366 8488 9549 10610 12732 15915 19098 21220 25464 28647 31830 38196 42440 47745 57294 63660 76392 95490 114588 127320 143235 190980 229176 286470 381960 572940 1145880