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30167028 = 2232863971
BaseRepresentation
bin111001100010…
…0111111110100
32002202122101100
41303010333310
530210321103
62554330100
7514262343
oct163047764
962678340
1030167028
1116034a31
12a129930
136333018
144013b5a
1529ad5a3
hex1cc4ff4

30167028 has 36 divisors (see below), whose sum is σ = 76422528. Its totient is φ = 10033680.

The previous prime is 30167023. The next prime is 30167029. The reversal of 30167028 is 82076103.

30167028 is a nontrivial binomial coefficient, being equal to C(7768, 2).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×301670283 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30166992 and 30167010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30167023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30583 + ... + 31553.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 230167028 is an apocalyptic number.

30167028 is the 7767-th triangular number and also the 3884-th hexagonal number.

It is an amenable number.

30167028 is an abundant number, since it is smaller than the sum of its proper divisors (46255500).

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

30167028 is a wasteful number, since it uses less digits than its factorization.

30167028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1839 counting only the distinct ones).

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

The square root of 30167028 is about 5492.4519114873. The cubic root of 30167028 is about 311.2988446110.

The spelling of 30167028 in words is "thirty million, one hundred sixty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 863 971 1726 1942 2589 2913 3452 3884 5178 5826 7767 8739 10356 11652 15534 17478 31068 34956 837973 1675946 2513919 3351892 5027838 7541757 10055676 15083514 30167028