Search a number
-
+
535965696 = 2123273167
BaseRepresentation
bin11111111100100…
…011000000000000
31101100111212201100
4133330203000000
52044201400241
6125103334400
716165430130
oct3774430000
91340455640
10535965696
112555a1a62
1212b5b1400
1387068586
1451278ac0
15320be9b6
hex1ff23000

535965696 has 312 divisors, whose sum is σ = 1853656064. Its totient is φ = 145981440.

The previous prime is 535965607. The next prime is 535965697. The reversal of 535965696 is 696569535.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (6561000) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535965697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999455 + ... + 7999521.

Almost surely, 2535965696 is an apocalyptic number.

535965696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926828032).

535965696 is an abundant number, since it is smaller than the sum of its proper divisors (1317690368).

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

535965696 is a wasteful number, since it uses less digits than its factorization.

535965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its digits is 6561000, while the sum is 54.

The square root of 535965696 is about 23150.9329401646. The cubic root of 535965696 is about 812.2922904475.

The spelling of 535965696 in words is "five hundred thirty-five million, nine hundred sixty-five thousand, six hundred ninety-six".