Search a number
-
+
534635920 = 2457132331103
BaseRepresentation
bin11111110111011…
…110010110010000
31101021000022121101
4133313132112100
52043331322140
6125015034144
716151221210
oct3767362620
91337008541
10534635920
11254873975
1212b06b954
13869c1220
1451010240
1531e0a99a
hex1fdde590

534635920 has 320 divisors, whose sum is σ = 1663893504. Its totient is φ = 155105280.

The previous prime is 534635869. The next prime is 534635923. The reversal of 534635920 is 29536435.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 534635920.

It is not an unprimeable number, because it can be changed into a prime (534635923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5190589 + ... + 5190691.

Almost surely, 2534635920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534635920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831946752).

534635920 is an abundant number, since it is smaller than the sum of its proper divisors (1129257584).

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

534635920 is a wasteful number, since it uses less digits than its factorization.

534635920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 534635920 is about 23122.1953974963. The cubic root of 534635920 is about 811.6199455801.

The spelling of 534635920 in words is "five hundred thirty-four million, six hundred thirty-five thousand, nine hundred twenty".