Search a number
-
+
30013776 = 24321316033
BaseRepresentation
bin111001001111…
…1100101010000
32002110212011100
41302133211100
530140420101
62551144400
7513053502
oct162374520
962425140
1030013776
1115a3a881
12a075100
1362ab340
143db3d72
15297ce86
hex1c9f950

30013776 has 60 divisors (see below), whose sum is σ = 90463828. Its totient is φ = 9234432.

The previous prime is 30013757. The next prime is 30013799. The reversal of 30013776 is 67731003.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 28515600 = 1224^2 + 5340^2 .

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 11 ways as a sum of consecutive naturals, for example, 6145 + ... + 9888.

Almost surely, 230013776 is an apocalyptic number.

30013776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30013776 is an abundant number, since it is smaller than the sum of its proper divisors (60450052).

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

30013776 is a wasteful number, since it uses less digits than its factorization.

30013776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16060 (or 16051 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 30013776 is about 5478.4830017077. The cubic root of 30013776 is about 310.7708046894.

Adding to 30013776 its reverse (67731003), we get a palindrome (97744779).

The spelling of 30013776 in words is "thirty million, thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 16033 32066 48099 64132 96198 128264 144297 192396 208429 256528 288594 384792 416858 577188 625287 769584 833716 1154376 1250574 1667432 1875861 2308752 2501148 3334864 3751722 5002296 7503444 10004592 15006888 30013776