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1112332520 = 235134215081
BaseRepresentation
bin100001001001100…
…1101100011101000
32212112001100100202
41002103031203220
54234224120040
6302213051332
736364445645
oct10223154350
92775040322
101112332520
11520978982
12270626b48
131495ab130
14a7a2cdcc
15679c0015
hex424cd8e8

1112332520 has 64 divisors (see below), whose sum is σ = 2702201040. Its totient is φ = 409651200.

The previous prime is 1112332453. The next prime is 1112332541. The reversal of 1112332520 is 252332111.

It can be written as a sum of positive squares in 8 ways, for example, as 1976836 + 1110355684 = 1406^2 + 33322^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1112332492 and 1112332501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216380 + ... + 221460.

Almost surely, 21112332520 is an apocalyptic number.

1112332520 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 1112332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351100520).

1112332520 is an abundant number, since it is smaller than the sum of its proper divisors (1589868520).

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

1112332520 is a wasteful number, since it uses less digits than its factorization.

1112332520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5522 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1112332520 is about 33351.6494344733. The cubic root of 1112332520 is about 1036.1235498116.

Adding to 1112332520 its reverse (252332111), we get a palindrome (1364664631).

The spelling of 1112332520 in words is "one billion, one hundred twelve million, three hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 421 520 842 1684 2105 3368 4210 5081 5473 8420 10162 10946 16840 20324 21892 25405 27365 40648 43784 50810 54730 66053 101620 109460 132106 203240 218920 264212 330265 528424 660530 1321060 2139101 2642120 4278202 8556404 10695505 17112808 21391010 27808313 42782020 55616626 85564040 111233252 139041565 222466504 278083130 556166260 1112332520