Search a number
-
+
1112543120 = 245132346511
BaseRepresentation
bin100001001010000…
…0000111110010000
32212112110001020202
41002110000332100
54234302334440
6302221354332
736366313643
oct10224007620
92775401222
101112543120
11521002127
122707089a8
13149652c50
14a7a85a5a
1567a12615
hex42500f90

1112543120 has 80 divisors (see below), whose sum is σ = 2906813952. Its totient is φ = 392916480.

The previous prime is 1112543101. The next prime is 1112543129. The reversal of 1112543120 is 213452111.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1112543092 and 1112543101.

It is not an unprimeable number, because it can be changed into a prime (1112543129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665 + ... + 47175.

Almost surely, 21112543120 is an apocalyptic number.

1112543120 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 1112543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453406976).

1112543120 is an abundant number, since it is smaller than the sum of its proper divisors (1794270832).

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

1112543120 is a wasteful number, since it uses less digits than its factorization.

1112543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46560 (or 46554 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1112543120 is about 33354.8065501810. The cubic root of 1112543120 is about 1036.1889360895.

Adding to 1112543120 its reverse (213452111), we get a palindrome (1325995231).

It can be divided in two parts, 11125 and 43120, that added together give a palindrome (54245).

The spelling of 1112543120 in words is "one billion, one hundred twelve million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 46511 93022 186044 232555 372088 465110 604643 744176 930220 1069753 1209286 1860440 2139506 2418572 3023215 3720880 4279012 4837144 5348765 6046430 8558024 9674288 10697530 12092860 13906789 17116048 21395060 24185720 27813578 42790120 48371440 55627156 69533945 85580240 111254312 139067890 222508624 278135780 556271560 1112543120