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1134640 = 245131091
BaseRepresentation
bin100010101000000110000
32010122102201
410111000300
5242302030
640152544
712433663
oct4250060
92118381
101134640
11705521
12468754
133095b0
142176da
151762ca
hex115030

1134640 has 40 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 418560.

The previous prime is 1134619. The next prime is 1134649. The reversal of 1134640 is 464311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1134649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495 + ... + 1585.

21134640 is an apocalyptic number.

1134640 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 1134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

1134640 is an abundant number, since it is smaller than the sum of its proper divisors (1708928).

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

1134640 is a wasteful number, since it uses less digits than its factorization.

1134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1134640 is about 1065.1948178620. The cubic root of 1134640 is about 104.3004134442.

Adding to 1134640 its reverse (464311), we get a palindrome (1598951).

It can be divided in two parts, 113 and 4640, that added together give a triangular number (4753 = T97).

The spelling of 1134640 in words is "one million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1091 2182 4364 5455 8728 10910 14183 17456 21820 28366 43640 56732 70915 87280 113464 141830 226928 283660 567320 1134640