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30108672 = 21035112
BaseRepresentation
bin111001011011…
…0110000000000
32002122200100000
41302312300000
530201434142
62553200000
7513630246
oct162666000
962580300
1030108672
1115aa5100
12a100000
1363125a9
143dda796
15299b14c
hex1cb6c00

30108672 has 198 divisors, whose sum is σ = 99099364. Its totient is φ = 9123840.

The previous prime is 30108671. The next prime is 30108697. The reversal of 30108672 is 27680103.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (198).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (30108671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2737147 + ... + 2737157.

Almost surely, 230108672 is an apocalyptic number.

30108672 is a gapful number since it is divisible by the number (32) 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 30108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49549682).

30108672 is an abundant number, since it is smaller than the sum of its proper divisors (68990692).

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

30108672 is an equidigital number, since it uses as much as digits as its factorization.

30108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 30108672 is about 5487.1369583782. The cubic root of 30108672 is about 311.0979864456.

Multiplying 30108672 by its sum of digits (27), we get a square (812934144 = 285122).

30108672 divided by its sum of digits (27) gives a square (1115136 = 10562).

Adding to 30108672 its reverse (27680103), we get a palindrome (57788775).

The spelling of 30108672 in words is "thirty million, one hundred eight thousand, six hundred seventy-two".