Search a number
-
+
30967520 = 255375231
BaseRepresentation
bin111011000100…
…0011011100000
32011021022110012
41312020123200
530411430040
63023424052
7524135213
oct166103340
964238405
1030967520
11165313a1
12a455028
13655349c
14418177a
152aba865
hex1d886e0

30967520 has 48 divisors (see below), whose sum is σ = 75152448. Its totient is φ = 12049920.

The previous prime is 30967493. The next prime is 30967561. The reversal of 30967520 is 2576903.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3305 + ... + 8535.

It is an arithmetic number, because the mean of its divisors is an integer number (1565676).

Almost surely, 230967520 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 30967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37576224).

30967520 is an abundant number, since it is smaller than the sum of its proper divisors (44184928).

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

30967520 is a wasteful number, since it uses less digits than its factorization.

30967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 30967520 is about 5564.8468083138. The cubic root of 30967520 is about 314.0283150254.

The spelling of 30967520 in words is "thirty million, nine hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5231 5920 10462 20924 26155 41848 52310 83696 104620 167392 193547 209240 387094 418480 774188 836960 967735 1548376 1935470 3096752 3870940 6193504 7741880 15483760 30967520