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1131220040 = 235235772131
BaseRepresentation
bin100001101101101…
…0000110001001000
32220211120221011112
41003123100301020
54304043020130
6304125545452
740014132416
oct10333206110
92824527145
101131220040
115305a93a5
12276a15288
13150492092
14aa3482b6
15694a1495
hex436d0c48

1131220040 has 64 divisors (see below), whose sum is σ = 2661759360. Its totient is φ = 431861760.

The previous prime is 1131220037. The next prime is 1131220087. The reversal of 1131220040 is 400221311.

It is a junction number, because it is equal to n+sod(n) for n = 1131219997 and 1131220024.

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, 529775 + ... + 531905.

It is an arithmetic number, because the mean of its divisors is an integer number (41589990).

Almost surely, 21131220040 is an apocalyptic number.

1131220040 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 1131220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330879680).

1131220040 is an abundant number, since it is smaller than the sum of its proper divisors (1530539320).

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

1131220040 is a wasteful number, since it uses less digits than its factorization.

1131220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1131220040 is about 33633.6147328829. The cubic root of 1131220040 is about 1041.9551608253.

Adding to 1131220040 its reverse (400221311), we get a palindrome (1531441351).

The spelling of 1131220040 in words is "one billion, one hundred thirty-one million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 577 920 1154 2131 2308 2885 4262 4616 5770 8524 10655 11540 13271 17048 21310 23080 26542 42620 49013 53084 66355 85240 98026 106168 132710 196052 245065 265420 392104 490130 530840 980260 1229587 1960520 2459174 4918348 6147935 9836696 12295870 24591740 28280501 49183480 56561002 113122004 141402505 226244008 282805010 565610020 1131220040