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1113882440 = 235112373617
BaseRepresentation
bin100001001100100…
…0111111101001000
32212121222002110012
41002121013331020
54240123214230
6302310211052
736413562446
oct10231077510
92777862405
101113882440
11521837400
12271053a88
13149a01748
14a7d13b96
1567bc9395
hex42647f48

1113882440 has 96 divisors (see below), whose sum is σ = 2766650040. Its totient is φ = 403307520.

The previous prime is 1113882377. The next prime is 1113882443. The reversal of 1113882440 is 442883111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 597411364 + 516471076 = 24442^2 + 22726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1113882397 and 1113882406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113882443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1805012 + ... + 1805628.

Almost surely, 21113882440 is an apocalyptic number.

1113882440 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 1113882440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383325020).

1113882440 is an abundant number, since it is smaller than the sum of its proper divisors (1652767600).

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

1113882440 is a wasteful number, since it uses less digits than its factorization.

1113882440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1113882440 is about 33374.8773780519. The cubic root of 1113882440 is about 1036.6045700315.

The spelling of 1113882440 in words is "one billion, one hundred thirteen million, eight hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 373 440 484 605 617 746 968 1210 1234 1492 1865 2420 2468 2984 3085 3730 4103 4840 4936 6170 6787 7460 8206 12340 13574 14920 16412 20515 24680 27148 32824 33935 41030 45133 54296 67870 74657 82060 90266 135740 149314 164120 180532 225665 230141 271480 298628 361064 373285 451330 460282 597256 746570 902660 920564 1150705 1493140 1805320 1841128 2301410 2531551 2986280 4602820 5063102 9205640 10126204 12657755 20252408 25315510 27847061 50631020 55694122 101262040 111388244 139235305 222776488 278470610 556941220 1113882440