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1114032440 = 235175330911
BaseRepresentation
bin100001001100110…
…1100100100111000
32212122020201012202
41002121230210320
54240143014230
6302313325332
736415055663
oct10231544470
92778221182
101114032440
1152192a074
12271106848
13149a54ac1
14a7d526da
1567c08a45
hex4266c938

1114032440 has 64 divisors (see below), whose sum is σ = 2704181760. Its totient is φ = 411473920.

The previous prime is 1114032401. The next prime is 1114032449. The reversal of 1114032440 is 442304111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114032449) by changing a digit.

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, 20585 + ... + 51495.

It is an arithmetic number, because the mean of its divisors is an integer number (42252840).

Almost surely, 21114032440 is an apocalyptic number.

1114032440 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 1114032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352090880).

1114032440 is an abundant number, since it is smaller than the sum of its proper divisors (1590149320).

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

1114032440 is a wasteful number, since it uses less digits than its factorization.

1114032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30992 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1114032440 is about 33377.1245016703. The cubic root of 1114032440 is about 1036.6510990909.

Adding to 1114032440 its reverse (442304111), we get a palindrome (1556336551).

The spelling of 1114032440 in words is "one billion, one hundred fourteen million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1802 2120 3604 4505 7208 9010 18020 30911 36040 61822 123644 154555 247288 309110 525487 618220 1050974 1236440 1638283 2101948 2627435 3276566 4203896 5254870 6553132 8191415 10509740 13106264 16382830 21019480 27850811 32765660 55701622 65531320 111403244 139254055 222806488 278508110 557016220 1114032440