Search a number
-
+
30815760 = 2435128399
BaseRepresentation
bin111010110001…
…1011000010000
32010222121021110
41311203120100
530342101020
63020253320
7522633603
oct165433020
963877243
1030815760
1116438378
12a3a1240
1364cc3a1
14414233a
152a8a8e0
hex1d63610

30815760 has 40 divisors (see below), whose sum is σ = 95529600. Its totient is φ = 8217472.

The previous prime is 30815753. The next prime is 30815761. The reversal of 30815760 is 6751803.

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

It is a super-2 number, since 2×308157602 = 1899222128755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30815761) by changing a digit.

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, 63960 + ... + 64439.

It is an arithmetic number, because the mean of its divisors is an integer number (2388240).

Almost surely, 230815760 is an apocalyptic number.

30815760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30815760 is an abundant number, since it is smaller than the sum of its proper divisors (64713840).

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

30815760 is a wasteful number, since it uses less digits than its factorization.

30815760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128415 (or 128409 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 30815760 is about 5551.1944660586. The cubic root of 30815760 is about 313.5144971153.

The spelling of 30815760 in words is "thirty million, eight hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 128399 256798 385197 513596 641995 770394 1027192 1283990 1540788 1925985 2054384 2567980 3081576 3851970 5135960 6163152 7703940 10271920 15407880 30815760