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1129940 = 225721153
BaseRepresentation
bin100010011110111010100
32010101222122
410103313110
5242124230
640115112
712414200
oct4236724
92111878
101129940
11701a39
12465a98
13307406
14215b00
15174be5
hex113dd4

1129940 has 36 divisors (see below), whose sum is σ = 2762676. Its totient is φ = 387072.

The previous prime is 1129897. The next prime is 1129951. The reversal of 1129940 is 499211.

It can be written as a sum of positive squares in 2 ways, for example, as 659344 + 470596 = 812^2 + 686^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (76741).

21129940 is an apocalyptic number.

1129940 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 1129940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381338).

1129940 is an abundant number, since it is smaller than the sum of its proper divisors (1632736).

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

1129940 is a wasteful number, since it uses less digits than its factorization.

1129940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1129940 is about 1062.9863592728. The cubic root of 1129940 is about 104.1562001928.

The spelling of 1129940 in words is "one million, one hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1153 2306 4612 5765 8071 11530 16142 23060 32284 40355 56497 80710 112994 161420 225988 282485 564970 1129940