Search a number
-
+
30535104 = 263359443
BaseRepresentation
bin111010001111…
…0110111000000
32010110100021210
41310132313000
530304110404
63010250120
7520354425
oct164366700
963410253
1030535104
1116266526
12a286940
136431712
1440abd4c
152a32689
hex1d1edc0

30535104 has 56 divisors (see below), whose sum is σ = 81198720. Its totient is φ = 10127104.

The previous prime is 30535091. The next prime is 30535123. The reversal of 30535104 is 40153503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68707 + ... + 69149.

Almost surely, 230535104 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 30535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40599360).

30535104 is an abundant number, since it is smaller than the sum of its proper divisors (50663616).

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

30535104 is a wasteful number, since it uses less digits than its factorization.

30535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 30535104 is about 5525.8577614702. The cubic root of 30535104 is about 312.5598102054.

Adding to 30535104 its reverse (40153503), we get a palindrome (70688607).

The spelling of 30535104 in words is "thirty million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 443 718 886 1077 1329 1436 1772 2154 2658 2872 3544 4308 5316 5744 7088 8616 10632 11488 14176 17232 21264 22976 28352 34464 42528 68928 85056 159037 318074 477111 636148 954222 1272296 1908444 2544592 3816888 5089184 7633776 10178368 15267552 30535104