Search a number
-
+
535120137 = 32313189961
BaseRepresentation
bin11111111001010…
…100100100001001
31101021220220211100
4133321110210021
52043442321022
6125033252013
716155306006
oct3771244411
91337826740
10535120137
11255074752
1212b264009
1386b30746
14510d88ad
1531ea41ac
hex1fe54909

535120137 has 12 divisors (see below), whose sum is σ = 775424884. Its totient is φ = 355605120.

The previous prime is 535120133. The next prime is 535120141. The reversal of 535120137 is 731021535.

535120137 is a `hidden beast` number, since 535 + 120 + 1 + 3 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (535120133) and next prime (535120141).

It can be written as a sum of positive squares in 2 ways, for example, as 144504441 + 390615696 = 12021^2 + 19764^2 .

It is not a de Polignac number, because 535120137 - 22 = 535120133 is a prime.

It is a super-2 number, since 2×5351201372 = 572707122045797538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 535120137.

It is not an unprimeable number, because it can be changed into a prime (535120133) 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, 92164 + ... + 97797.

Almost surely, 2535120137 is an apocalyptic number.

It is an amenable number.

535120137 is a deficient number, since it is larger than the sum of its proper divisors (240304747).

535120137 is a wasteful number, since it uses less digits than its factorization.

535120137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190280 (or 190277 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 535120137 is about 23132.6638543856. The cubic root of 535120137 is about 811.8648983128.

The spelling of 535120137 in words is "five hundred thirty-five million, one hundred twenty thousand, one hundred thirty-seven".

Divisors: 1 3 9 313 939 2817 189961 569883 1709649 59457793 178373379 535120137