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36536040 = 23325101489
BaseRepresentation
bin1000101101011…
…1111011101000
32112202020000200
42023113323220
533323123130
63343032200
7622360032
oct213277350
975666020
1036536040
1119695082
121029b660
137752c78
144bd0c52
15331a760
hex22d7ee8

36536040 has 48 divisors (see below), whose sum is σ = 118743300. Its totient is φ = 9742848.

The previous prime is 36536039. The next prime is 36536041. The reversal of 36536040 is 4063563.

36536040 is a `hidden beast` number, since 3 + 6 + 53 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36536039) and next prime (36536041).

It can be written as a sum of positive squares in 2 ways, for example, as 36505764 + 30276 = 6042^2 + 174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36535995 and 36536013.

It is not an unprimeable number, because it can be changed into a prime (36536041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50385 + ... + 51104.

Almost surely, 236536040 is an apocalyptic number.

36536040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36536040 is an abundant number, since it is smaller than the sum of its proper divisors (82207260).

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

36536040 is a wasteful number, since it uses less digits than its factorization.

36536040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101506 (or 101499 counting only the distinct ones).

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

The square root of 36536040 is about 6044.5049425077. The cubic root of 36536040 is about 331.8235138831.

The spelling of 36536040 in words is "thirty-six million, five hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 101489 202978 304467 405956 507445 608934 811912 913401 1014890 1217868 1522335 1826802 2029780 2435736 3044670 3653604 4059560 4567005 6089340 7307208 9134010 12178680 18268020 36536040