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30381120 = 26325711137
BaseRepresentation
bin111001111100…
…1010001000000
32010011112001200
41303321101000
530234143440
63003101200
7516143460
oct163712100
963145050
1030381120
1116170870
12a211800
1363a95c3
14406bba0
152a01c30
hex1cf9440

30381120 has 336 divisors, whose sum is σ = 131234688. Its totient is φ = 6266880.

The previous prime is 30381119. The next prime is 30381121. The reversal of 30381120 is 2118303.

It is an interprime number because it is at equal distance from previous prime (30381119) and next prime (30381121).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30381093 and 30381102.

It is not an unprimeable number, because it can be changed into a prime (30381121) 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 47 ways as a sum of consecutive naturals, for example, 221692 + ... + 221828.

Almost surely, 230381120 is an apocalyptic number.

30381120 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 30381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65617344).

30381120 is an abundant number, since it is smaller than the sum of its proper divisors (100853568).

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

30381120 is a wasteful number, since it uses less digits than its factorization.

30381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30381120 is about 5511.9071109735. The cubic root of 30381120 is about 312.0335269691.

Adding to 30381120 its reverse (2118303), we get a palindrome (32499423).

The spelling of 30381120 in words is "thirty million, three hundred eighty-one thousand, one hundred twenty".