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409027140 = 2232517133669
BaseRepresentation
bin11000011000010…
…100001001000100
31001111122201202100
4120120110021010
51314202332030
6104330512100
713064446644
oct3030241104
91044581670
10409027140
1119a981165
12b4b95630
13669823c2
143c474524
1525d98360
hex18614244

409027140 has 72 divisors (see below), whose sum is σ = 1313708760. Its totient is φ = 102657024.

The previous prime is 409027127. The next prime is 409027141. The reversal of 409027140 is 41720904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 405700164 = 1824^2 + 20142^2 .

It is not an unprimeable number, because it can be changed into a prime (409027141) 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, 63775 + ... + 69894.

It is an arithmetic number, because the mean of its divisors is an integer number (18245955).

Almost surely, 2409027140 is an apocalyptic number.

It is an amenable number.

409027140 is an abundant number, since it is smaller than the sum of its proper divisors (904681620).

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

409027140 is a wasteful number, since it uses less digits than its factorization.

409027140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133701 (or 133696 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 409027140 is about 20224.4193983412. The cubic root of 409027140 is about 742.3078304163.

The spelling of 409027140 in words is "four hundred nine million, twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 133669 267338 401007 534676 668345 802014 1203021 1336690 1604028 2005035 2272373 2406042 2673380 4010070 4544746 4812084 6015105 6817119 8020140 9089492 11361865 12030210 13634238 20451357 22723730 24060420 27268476 34085595 40902714 45447460 68171190 81805428 102256785 136342380 204513570 409027140