Search a number
-
+
30878160 = 2435128659
BaseRepresentation
bin111010111001…
…0100111010000
32011002202212120
41311302213100
530401100120
63021454240
7523313535
oct165624720
964082776
1030878160
1116480245
12a411380
136521901
14415ad8c
152a9e140
hex1d729d0

30878160 has 40 divisors (see below), whose sum is σ = 95723040. Its totient is φ = 8234112.

The previous prime is 30878149. The next prime is 30878161. The reversal of 30878160 is 6187803.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30878161) by changing a digit.

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, 64090 + ... + 64569.

It is an arithmetic number, because the mean of its divisors is an integer number (2393076).

Almost surely, 230878160 is an apocalyptic number.

30878160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30878160 is an abundant number, since it is smaller than the sum of its proper divisors (64844880).

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

30878160 is a wasteful number, since it uses less digits than its factorization.

30878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128675 (or 128669 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 30878160 is about 5556.8120356910. The cubic root of 30878160 is about 313.7259702342.

The spelling of 30878160 in words is "thirty million, eight hundred seventy-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 128659 257318 385977 514636 643295 771954 1029272 1286590 1543908 1929885 2058544 2573180 3087816 3859770 5146360 6175632 7719540 10292720 15439080 30878160