Search a number
-
+
536537160 = 233251490381
BaseRepresentation
bin11111111110101…
…110100001001000
31101101120220121200
4133332232201020
52044323142120
6125123504200
716203330165
oct3776564110
91341526550
10536537160
11255952345
1212b828060
1387208713
145138706c
1532183e90
hex1ffae848

536537160 has 48 divisors (see below), whose sum is σ = 1743746940. Its totient is φ = 143076480.

The previous prime is 536537159. The next prime is 536537161. The reversal of 536537160 is 61735635.

It is a happy number.

536537160 is a `hidden beast` number, since 536 + 53 + 71 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536537159) and next prime (536537161).

It can be written as a sum of positive squares in 2 ways, for example, as 517926564 + 18610596 = 22758^2 + 4314^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (536537161) 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 11 ways as a sum of consecutive naturals, for example, 744831 + ... + 745550.

Almost surely, 2536537160 is an apocalyptic number.

It is an amenable number.

536537160 is an abundant number, since it is smaller than the sum of its proper divisors (1207209780).

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

536537160 is a wasteful number, since it uses less digits than its factorization.

536537160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490398 (or 1490391 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 536537160 is about 23163.2717896242. The cubic root of 536537160 is about 812.5808853597.

The spelling of 536537160 in words is "five hundred thirty-six million, five hundred thirty-seven thousand, one hundred sixty".

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 1490381 2980762 4471143 5961524 7451905 8942286 11923048 13413429 14903810 17884572 22355715 26826858 29807620 35769144 44711430 53653716 59615240 67067145 89422860 107307432 134134290 178845720 268268580 536537160