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30199400 = 23527113753
BaseRepresentation
bin111001100110…
…0111001101000
32002211021210022
41303030321220
530212340100
62555140012
7514455620
oct163147150
962737708
1030199400
1116057290
12a144608
13634498a
144021880
1529b7e85
hex1ccce68

30199400 has 192 divisors, whose sum is σ = 91601280. Its totient is φ = 8985600.

The previous prime is 30199397. The next prime is 30199423. The reversal of 30199400 is 499103.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30199400.

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, 569774 + ... + 569826.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 230199400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30199400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800640).

30199400 is an abundant number, since it is smaller than the sum of its proper divisors (61401880).

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

30199400 is a wasteful number, since it uses less digits than its factorization.

30199400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 30199400 is about 5495.3980747531. The cubic root of 30199400 is about 311.4101555837.

The spelling of 30199400 in words is "thirty million, one hundred ninety-nine thousand, four hundred".