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30992040 = 233251923197
BaseRepresentation
bin111011000111…
…0011010101000
32011022120002100
41312032122220
530413221130
63024133400
7524266542
oct166163250
964276070
1030992040
1116548862
12a467260
1365616b1
14418a692
152ac2c60
hex1d8e6a8

30992040 has 192 divisors, whose sum is σ = 111196800. Its totient is φ = 7451136.

The previous prime is 30992011. The next prime is 30992053. The reversal of 30992040 is 4029903.

It is a junction number, because it is equal to n+sod(n) for n = 30991995 and 30992013.

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 47 ways as a sum of consecutive naturals, for example, 157222 + ... + 157418.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 230992040 is an apocalyptic number.

30992040 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 30992040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

30992040 is an abundant number, since it is smaller than the sum of its proper divisors (80204760).

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

30992040 is a wasteful number, since it uses less digits than its factorization.

30992040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30992040 is about 5567.0494878346. The cubic root of 30992040 is about 314.1111754213. Note that the first 4 decimals are identical.

The spelling of 30992040 in words is "thirty million, nine hundred ninety-two thousand, forty".