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1140135332 = 227224124137
BaseRepresentation
bin100001111110101…
…0001010110100100
32221110100212122112
41003331101112210
54313333312312
6305045020152
740152663500
oct10375212644
92843325575
101140135332
11535638606
122799b4658
13152293cbb
14ab5c9300
156a162d22
hex43f515a4

1140135332 has 36 divisors (see below), whose sum is σ = 2330717004. Its totient is φ = 486581760.

The previous prime is 1140135317. The next prime is 1140135349. The reversal of 1140135332 is 2335310411.

It can be written as a sum of positive squares in 2 ways, for example, as 830938276 + 309197056 = 28826^2 + 17584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1140135298 and 1140135307.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35168 + ... + 59304.

It is an arithmetic number, because the mean of its divisors is an integer number (64742139).

Almost surely, 21140135332 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 1140135332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165358502).

1140135332 is an abundant number, since it is smaller than the sum of its proper divisors (1190581672).

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

1140135332 is a wasteful number, since it uses less digits than its factorization.

1140135332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24396 (or 24387 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1140135332 is about 33765.8900667523. The cubic root of 1140135332 is about 1044.6852625410.

Adding to 1140135332 its reverse (2335310411), we get a palindrome (3475445743).

The spelling of 1140135332 in words is "one billion, one hundred forty million, one hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 241 482 964 1687 3374 6748 11809 23618 24137 47236 48274 96548 168959 337918 675836 1182713 2365426 4730852 5817017 11634034 23268068 40719119 81438238 162876476 285033833 570067666 1140135332