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30084000 = 2535323109
BaseRepresentation
bin111001011000…
…0101110100000
32002121102111020
41302300232200
530200142000
62552445440
7513465312
oct162605640
962542436
1030084000
1115a88611
12a0a9880
1363042ab
143dd17b2
152993ba0
hex1cb0ba0

30084000 has 192 divisors, whose sum is σ = 103783680. Its totient is φ = 7603200.

The previous prime is 30083969. The next prime is 30084001. The reversal of 30084000 is 48003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30084001) 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 31 ways as a sum of consecutive naturals, for example, 275946 + ... + 276054.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 230084000 is an apocalyptic number.

30084000 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 30084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

30084000 is an abundant number, since it is smaller than the sum of its proper divisors (73699680).

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

30084000 is a wasteful number, since it uses less digits than its factorization.

30084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30084000 is about 5484.8883306773. Note that the first 3 decimals coincide. The cubic root of 30084000 is about 311.0129887084.

The spelling of 30084000 in words is "thirty million, eighty-four thousand".