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1135431120 = 24354730963
BaseRepresentation
bin100001110101101…
…0100110111010000
32221010111212200110
41003223110313100
54311132243440
6304400121320
740065001545
oct10353246720
92833455613
101135431120
11532a1522a
12278306240
13151307a45
14aab22bcc
1569a34080
hex43ad4dd0

1135431120 has 40 divisors (see below), whose sum is σ = 3519837216. Its totient is φ = 302781568.

The previous prime is 1135431097. The next prime is 1135431131. The reversal of 1135431120 is 211345311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2365242 + ... + 2365721.

Almost surely, 21135431120 is an apocalyptic number.

1135431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135431120 is an abundant number, since it is smaller than the sum of its proper divisors (2384406096).

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

1135431120 is a wasteful number, since it uses less digits than its factorization.

1135431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730979 (or 4730973 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1135431120 is about 33696.1588315345. The cubic root of 1135431120 is about 1043.2464872973.

Adding to 1135431120 its reverse (211345311), we get a palindrome (1346776431).

The spelling of 1135431120 in words is "one billion, one hundred thirty-five million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4730963 9461926 14192889 18923852 23654815 28385778 37847704 47309630 56771556 70964445 75695408 94619260 113543112 141928890 189238520 227086224 283857780 378477040 567715560 1135431120