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1135561020 = 2235113894423
BaseRepresentation
bin100001110101111…
…0100100100111100
32221010202110212120
41003223310210330
54311200423040
6304403002540
740066052346
oct10353644474
92833673776
101135561020
11532aa3890
12278369450
13151351bc9
14aab58296
1569a5c7d0
hex43af493c

1135561020 has 96 divisors (see below), whose sum is σ = 3478325760. Its totient is φ = 274517760.

The previous prime is 1135560997. The next prime is 1135561027. The reversal of 1135561020 is 201655311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135561027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254529 + ... + 258951.

It is an arithmetic number, because the mean of its divisors is an integer number (36232560).

Almost surely, 21135561020 is an apocalyptic number.

1135561020 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 1135561020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739162880).

1135561020 is an abundant number, since it is smaller than the sum of its proper divisors (2342764740).

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

1135561020 is a wasteful number, since it uses less digits than its factorization.

1135561020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1135561020 is about 33698.0862958121. The cubic root of 1135561020 is about 1043.2862702921.

The spelling of 1135561020 in words is "one billion, one hundred thirty-five million, five hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 389 660 778 1167 1556 1945 2334 3890 4279 4423 4668 5835 7780 8558 8846 11670 12837 13269 17116 17692 21395 22115 23340 25674 26538 42790 44230 48653 51348 53076 64185 66345 85580 88460 97306 128370 132690 145959 194612 243265 256740 265380 291918 486530 583836 729795 973060 1459590 1720547 2919180 3441094 5161641 6882188 8602735 10323282 17205470 18926017 20646564 25808205 34410940 37852034 51616410 56778051 75704068 94630085 103232820 113556102 189260170 227112204 283890255 378520340 567780510 1135561020