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405361060 = 225139716073
BaseRepresentation
bin11000001010010…
…101000110100100
31001020202110211121
4120022111012210
51312233023220
6104120143324
713021340446
oct3012250644
91036673747
10405361060
111988a7845
12b3907b44
1365c9a820
143bb9c496
15258c1eaa
hex182951a4

405361060 has 48 divisors (see below), whose sum is σ = 926248176. Its totient is φ = 148119552.

The previous prime is 405361049. The next prime is 405361063. The reversal of 405361060 is 60163504.

It can be written as a sum of positive squares in 8 ways, for example, as 81577024 + 323784036 = 9032^2 + 17994^2 .

It is not an unprimeable number, because it can be changed into a prime (405361063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17184 + ... + 33256.

It is an arithmetic number, because the mean of its divisors is an integer number (19296837).

Almost surely, 2405361060 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 405361060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463124088).

405361060 is an abundant number, since it is smaller than the sum of its proper divisors (520887116).

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

405361060 is a wasteful number, since it uses less digits than its factorization.

405361060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16192 (or 16190 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 405361060 is about 20133.5804068725. The cubic root of 405361060 is about 740.0834213235.

The spelling of 405361060 in words is "four hundred five million, three hundred sixty-one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 5044 6305 12610 16073 25220 32146 64292 80365 160730 208949 321460 417898 835796 1044745 1559081 2089490 3118162 4178980 6236324 7795405 15590810 20268053 31181620 40536106 81072212 101340265 202680530 405361060