Search a number
-
+
30683520 = 273257761
BaseRepresentation
bin111010100001…
…1000110000000
32010201212212200
41311003012000
530323333040
63013353200
7521543220
oct165030600
963655780
1030683520
1116357a8a
12a338800
13648413a
14410a080
152a61630
hex1d43180

30683520 has 192 divisors, whose sum is σ = 121249440. Its totient is φ = 7004160.

The previous prime is 30683519. The next prime is 30683531. The reversal of 30683520 is 2538603.

30683520 is a `hidden beast` number, since 306 + 8 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39940 + ... + 40700.

Almost surely, 230683520 is an apocalyptic number.

30683520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60624720).

30683520 is an abundant number, since it is smaller than the sum of its proper divisors (90565920).

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

30683520 is a wasteful number, since it uses less digits than its factorization.

30683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30683520 is about 5539.2707101206. The cubic root of 30683520 is about 313.0653913807.

The spelling of 30683520 in words is "thirty million, six hundred eighty-three thousand, five hundred twenty".