Search a number
-
+
30911120 = 245677379
BaseRepresentation
bin111010111101…
…0101010010000
32011011110002022
41311322222100
530403123440
63022311012
7523511612
oct165725220
964143068
1030911120
11164a2a89
12a428468
136533906
144168db2
152aa8cb5
hex1d7aa90

30911120 has 80 divisors (see below), whose sum is σ = 74876160. Its totient is φ = 11860992.

The previous prime is 30911113. The next prime is 30911131. The reversal of 30911120 is 2111903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 391241 + ... + 391319.

It is an arithmetic number, because the mean of its divisors is an integer number (935952).

Almost surely, 230911120 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 30911120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37438080).

30911120 is an abundant number, since it is smaller than the sum of its proper divisors (43965040).

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

30911120 is a wasteful number, since it uses less digits than its factorization.

30911120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 30911120 is about 5559.7769739442. The cubic root of 30911120 is about 313.8375564488.

The spelling of 30911120 in words is "thirty million, nine hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 73 79 80 134 146 158 268 292 316 335 365 395 536 584 632 670 730 790 1072 1168 1264 1340 1460 1580 2680 2920 3160 4891 5293 5360 5767 5840 6320 9782 10586 11534 19564 21172 23068 24455 26465 28835 39128 42344 46136 48910 52930 57670 78256 84688 92272 97820 105860 115340 195640 211720 230680 386389 391280 423440 461360 772778 1545556 1931945 3091112 3863890 6182224 7727780 15455560 30911120