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1113806480 = 245291972437
BaseRepresentation
bin100001001100011…
…0101011010010000
32212121211020020212
41002120311122100
54240113301410
6302304423252
736413125133
oct10230653220
92777736225
101113806480
11521795326
12271017b28
131499a5cb7
14a7cd421a
1567bb1b05
hex42635690

1113806480 has 80 divisors (see below), whose sum is σ = 2693599920. Its totient is φ = 427800576.

The previous prime is 1113806461. The next prime is 1113806483. The reversal of 1113806480 is 846083111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 288048784 + 825757696 = 16972^2 + 28736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1113806483) 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, 455822 + ... + 458258.

It is an arithmetic number, because the mean of its divisors is an integer number (33669999).

Almost surely, 21113806480 is an apocalyptic number.

1113806480 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 1113806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346799960).

1113806480 is an abundant number, since it is smaller than the sum of its proper divisors (1579793440).

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

1113806480 is a wasteful number, since it uses less digits than its factorization.

1113806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1113806480 is about 33373.7393769413. The cubic root of 1113806480 is about 1036.5810061226.

Adding to 1113806480 its reverse (846083111), we get a palindrome (1959889591).

The spelling of 1113806480 in words is "one billion, one hundred thirteen million, eight hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 197 232 290 394 464 580 788 985 1160 1576 1970 2320 2437 3152 3940 4874 5713 7880 9748 11426 12185 15760 19496 22852 24370 28565 38992 45704 48740 57130 70673 91408 97480 114260 141346 194960 228520 282692 353365 457040 480089 565384 706730 960178 1130768 1413460 1920356 2400445 2826920 3840712 4800890 5653840 7681424 9601780 13922581 19203560 27845162 38407120 55690324 69612905 111380648 139225810 222761296 278451620 556903240 1113806480