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1145984 = 2771279
BaseRepresentation
bin100010111110010000000
32011012222212
410113302000
5243132414
640321252
712512030
oct4276200
92135885
101145984
11712aa4
12473228
133117c8
1421b8c0
1517983e
hex117c80

1145984 has 32 divisors (see below), whose sum is σ = 2611200. Its totient is φ = 490752.

The previous prime is 1145983. The next prime is 1145999. The reversal of 1145984 is 4895411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1145984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 257 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (81600).

21145984 is an apocalyptic number.

1145984 is a gapful number since it is divisible by the number (14) 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 1145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305600).

1145984 is an abundant number, since it is smaller than the sum of its proper divisors (1465216).

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

1145984 is an equidigital number, since it uses as much as digits as its factorization.

1145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1288 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 1145984 is about 1070.5064222133. The cubic root of 1145984 is about 104.6468559384.

The spelling of 1145984 in words is "one million, one hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1279 2558 5116 8953 10232 17906 20464 35812 40928 71624 81856 143248 163712 286496 572992 1145984