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1450135140 = 2235296071373
BaseRepresentation
bin101011001101111…
…0100111001100100
310202001200111102220
41112123310321210
510432213311030
6355521232340
750635642146
oct12633647144
93661614386
101450135140
11684621aa3
123457926b0
131a158353c
14da842c96
1587499a10
hex566f4e64

1450135140 has 96 divisors (see below), whose sum is σ = 4210375680. Its totient is φ = 372481536.

The previous prime is 1450135121. The next prime is 1450135147. The reversal of 1450135140 is 415310541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1450135140.

It is not an unprimeable number, because it can be changed into a prime (1450135147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055494 + ... + 1056866.

It is an arithmetic number, because the mean of its divisors is an integer number (43858080).

Almost surely, 21450135140 is an apocalyptic number.

1450135140 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 1450135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105187840).

1450135140 is an abundant number, since it is smaller than the sum of its proper divisors (2760240540).

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

1450135140 is a wasteful number, since it uses less digits than its factorization.

1450135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1450135140 is about 38080.6399631099. The cubic root of 1450135140 is about 1131.8863577144.

Adding to 1450135140 its reverse (415310541), we get a palindrome (1865445681).

The spelling of 1450135140 in words is "one billion, four hundred fifty million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 607 870 1214 1373 1740 1821 2428 2746 3035 3642 4119 5492 6070 6865 7284 8238 9105 12140 13730 16476 17603 18210 20595 27460 35206 36420 39817 41190 52809 70412 79634 82380 88015 105618 119451 159268 176030 199085 211236 238902 264045 352060 398170 477804 528090 597255 796340 833411 1056180 1194510 1666822 2389020 2500233 3333644 4167055 5000466 8334110 10000932 12501165 16668220 24168919 25002330 48337838 50004660 72506757 96675676 120844595 145013514 241689190 290027028 362533785 483378380 725067570 1450135140