Search a number
-
+
30914880 = 263532203
BaseRepresentation
bin111010111101…
…1100101000000
32011011122020120
41311323211000
530403234010
63022340240
7523525563
oct165734500
964148216
1030914880
11164a5897
12a42a680
136535539
14416a4da
152aa9e70
hex1d7b940

30914880 has 56 divisors (see below), whose sum is σ = 98157792. Its totient is φ = 8243712.

The previous prime is 30914837. The next prime is 30914909. The reversal of 30914880 is 8841903.

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, 15142 + ... + 17061.

Almost surely, 230914880 is an apocalyptic number.

30914880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30914880 is an abundant number, since it is smaller than the sum of its proper divisors (67242912).

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

30914880 is a wasteful number, since it uses less digits than its factorization.

30914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32223 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30914880 is about 5560.1151067222. The cubic root of 30914880 is about 313.8502809028.

The spelling of 30914880 in words is "thirty million, nine hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 32203 64406 96609 128812 161015 193218 257624 322030 386436 483045 515248 644060 772872 966090 1030496 1288120 1545744 1932180 2060992 2576240 3091488 3864360 5152480 6182976 7728720 10304960 15457440 30914880