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30096180 = 22325612741
BaseRepresentation
bin111001011001…
…1101100110100
32002122001012100
41302303230310
530201034210
62553022100
7513545652
oct162635464
962561170
1030096180
1115a96784
12a0b4930
1363099ba
143dd5dd2
1529975c0
hex1cb3b34

30096180 has 72 divisors (see below), whose sum is σ = 92822184. Its totient is φ = 7891200.

The previous prime is 30096179. The next prime is 30096181. The reversal of 30096180 is 8169003.

It is an interprime number because it is at equal distance from previous prime (30096179) and next prime (30096181).

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 29877156 = 468^2 + 5466^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30096181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9610 + ... + 12350.

It is an arithmetic number, because the mean of its divisors is an integer number (1289197).

Almost surely, 230096180 is an apocalyptic number.

30096180 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 30096180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46411092).

30096180 is an abundant number, since it is smaller than the sum of its proper divisors (62726004).

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

30096180 is a wasteful number, since it uses less digits than its factorization.

30096180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 30096180 is about 5485.9985417424. The cubic root of 30096180 is about 311.0549559455.

It can be divided in two parts, 30096 and 180, that added together give a square (30276 = 1742).

The spelling of 30096180 in words is "thirty million, ninety-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2741 2745 3660 5482 5490 8223 10964 10980 13705 16446 24669 27410 32892 41115 49338 54820 82230 98676 123345 164460 167201 246690 334402 493380 501603 668804 836005 1003206 1504809 1672010 2006412 2508015 3009618 3344020 5016030 6019236 7524045 10032060 15048090 30096180