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1135014140 = 2251341987
BaseRepresentation
bin100001110100110…
…1111000011111100
32221002201200200202
41003221233003330
54311030423030
6304343143032
740061314061
oct10351570374
92832650622
101135014140
1153275aa17
12278144a78
131511c0000
14aaa54c68
15699a0745
hex43a6f0fc

1135014140 has 60 divisors (see below), whose sum is σ = 2583449736. Its totient is φ = 418871232.

The previous prime is 1135014131. The next prime is 1135014157. The reversal of 1135014140 is 414105311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 570227 + ... + 572213.

Almost surely, 21135014140 is an apocalyptic number.

1135014140 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 1135014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291724868).

1135014140 is an abundant number, since it is smaller than the sum of its proper divisors (1448435596).

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

1135014140 is an equidigital number, since it uses as much as digits as its factorization.

1135014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1135014140 is about 33689.9709112371. The cubic root of 1135014140 is about 1043.1187630712.

Adding to 1135014140 its reverse (414105311), we get a palindrome (1549119451).

The spelling of 1135014140 in words is "one billion, one hundred thirty-five million, fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 1987 2197 3380 3974 4394 7948 8788 9935 10985 19870 21970 25831 28561 39740 43940 51662 57122 103324 114244 129155 142805 258310 285610 335803 516620 571220 671606 1343212 1679015 3358030 4365439 6716060 8730878 17461756 21827195 43654390 56750707 87308780 113501414 227002828 283753535 567507070 1135014140