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30158180 = 22513193601
BaseRepresentation
bin111001100001…
…0110101100100
32002202012020122
41303002311210
530210030210
62554221112
7514224503
oct163026544
962665218
1030158180
1116029318
12a124798
13632bca0
14401083a
1529aab55
hex1cc2d64

30158180 has 48 divisors (see below), whose sum is σ = 68671344. Its totient is φ = 11059200.

The previous prime is 30158147. The next prime is 30158189. The reversal of 30158180 is 8185103.

It can be written as a sum of positive squares in 8 ways, for example, as 1364224 + 28793956 = 1168^2 + 5366^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (30158189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49880 + ... + 50480.

It is an arithmetic number, because the mean of its divisors is an integer number (1430653).

Almost surely, 230158180 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 30158180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34335672).

30158180 is an abundant number, since it is smaller than the sum of its proper divisors (38513164).

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

30158180 is a wasteful number, since it uses less digits than its factorization.

30158180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 30158180 is about 5491.6463833717. The cubic root of 30158180 is about 311.2684069478.

The spelling of 30158180 in words is "thirty million, one hundred fifty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 601 772 965 1202 1930 2404 2509 3005 3860 5018 6010 7813 10036 12020 12545 15626 25090 31252 39065 50180 78130 115993 156260 231986 463972 579965 1159930 1507909 2319860 3015818 6031636 7539545 15079090 30158180