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3540060036 = 223298335001
BaseRepresentation
bin1101001100000001…
…0000011110000100
3100010201020200102200
43103000100132010
524222223410121
61343135434500
7153504004512
oct32300203604
910121220380
103540060036
1115572a9557
12829685a30
134455545a6
142582294b2
1515abc1a26
hexd3010784

3540060036 has 18 divisors (see below), whose sum is σ = 8948485182. Its totient is φ = 1180020000.

The previous prime is 3540059987. The next prime is 3540060047. The reversal of 3540060036 is 6300600453.

3540060036 is a `hidden beast` number, since 3 + 54 + 0 + 0 + 600 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1863648900 + 1676411136 = 43170^2 + 40944^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 3540059991 and 3540060009.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 49167465 + ... + 49167536.

Almost surely, 23540060036 is an apocalyptic number.

3540060036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3540060036 is an abundant number, since it is smaller than the sum of its proper divisors (5408425146).

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

3540060036 is a wasteful number, since it uses less digits than its factorization.

3540060036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98335011 (or 98335006 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3540060036 is about 59498.4036424508. The cubic root of 3540060036 is about 1524.0651851755.

Adding to 3540060036 its reverse (6300600453), we get a palindrome (9840660489).

The spelling of 3540060036 in words is "three billion, five hundred forty million, sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 98335001 196670002 295005003 393340004 590010006 885015009 1180020012 1770030018 3540060036