Search a number
-
+
1135314140 = 225477117011
BaseRepresentation
bin100001110101011…
…1000010011011100
32221010021221012212
41003222320103130
54311120023030
6304353415552
740064003522
oct10352702334
92833257185
101135314140
11532945354
1227826a5b8
1315129671c
14aaad2312
1569a0e595
hex43ab84dc

1135314140 has 48 divisors (see below), whose sum is σ = 2469325824. Its totient is φ = 438177600.

The previous prime is 1135314137. The next prime is 1135314151. The reversal of 1135314140 is 414135311.

It is a happy number.

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, 58235 + ... + 75245.

It is an arithmetic number, because the mean of its divisors is an integer number (51444288).

Almost surely, 21135314140 is an apocalyptic number.

1135314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135314140 is an abundant number, since it is smaller than the sum of its proper divisors (1334011684).

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

1135314140 is a wasteful number, since it uses less digits than its factorization.

1135314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17138 (or 17136 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1135314140 is about 33694.4229806655. The cubic root of 1135314140 is about 1043.2106585672.

Adding to 1135314140 its reverse (414135311), we get a palindrome (1549449451).

The spelling of 1135314140 in words is "one billion, one hundred thirty-five million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 71 94 142 188 235 284 355 470 710 940 1420 3337 6674 13348 16685 17011 33370 34022 66740 68044 85055 170110 340220 799517 1207781 1599034 2415562 3198068 3997585 4831124 6038905 7995170 12077810 15990340 24155620 56765707 113531414 227062828 283828535 567657070 1135314140