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1140304128 = 2832951199
BaseRepresentation
bin100001111110111…
…1010100100000000
32221110200110012020
41003331322210000
54313404213003
6305052401440
740154265555
oct10375724400
92843613166
101140304128
11535743407
12279a76280
13152322a92
14ab630a2c
156a197d53
hex43f7a900

1140304128 has 72 divisors (see below), whose sum is σ = 3139584000. Its totient is φ = 366987264.

The previous prime is 1140304127. The next prime is 1140304159. The reversal of 1140304128 is 8214030411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1140304098 and 1140304107.

It is not an unprimeable number, because it can be changed into a prime (1140304127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3328 + ... + 47871.

Almost surely, 21140304128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569792000).

1140304128 is an abundant number, since it is smaller than the sum of its proper divisors (1999279872).

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

1140304128 is an equidigital number, since it uses as much as digits as its factorization.

1140304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51247 (or 51233 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1140304128 is about 33768.3894789195. The cubic root of 1140304128 is about 1044.7368148983.

Adding to 1140304128 its reverse (8214030411), we get a palindrome (9354334539).

The spelling of 1140304128 in words is "one billion, one hundred forty million, three hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 51199 102398 153597 204796 307194 409592 614388 819184 1228776 1484771 1638368 2457552 2969542 3276736 4454313 4915104 5939084 6553472 8908626 9830208 11878168 13106944 17817252 19660416 23756336 35634504 39320832 47512672 71269008 95025344 142538016 190050688 285076032 380101376 570152064 1140304128