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360669042 = 232176771741
BaseRepresentation
bin10101011111110…
…101111101110010
3221010122212220200
4111133311331302
51214312402132
655442220030
711636431146
oct2537657562
9833585820
10360669042
11175651a98
12a0954616
1359950446
1435c87226
15219e4d7c
hex157f5f72

360669042 has 48 divisors (see below), whose sum is σ = 829115352. Its totient is φ = 112919040.

The previous prime is 360669041. The next prime is 360669053. The reversal of 360669042 is 240966063.

360669042 is a `hidden beast` number, since 3 + 606 + 6 + 9 + 0 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 335659041 + 25010001 = 18321^2 + 5001^2 .

It is a junction number, because it is equal to n+sod(n) for n = 360668988 and 360669006.

It is not an unprimeable number, because it can be changed into a prime (360669041) 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, 206292 + ... + 208032.

Almost surely, 2360669042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360669042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414557676).

360669042 is an abundant number, since it is smaller than the sum of its proper divisors (468446310).

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

360669042 is a wasteful number, since it uses less digits than its factorization.

360669042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 360669042 is about 18991.2885818735. The cubic root of 360669042 is about 711.8190754053.

The spelling of 360669042 in words is "three hundred sixty million, six hundred sixty-nine thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 677 1354 1741 2031 3482 4062 5223 6093 10446 11509 12186 15669 23018 29597 31338 34527 59194 69054 88791 103581 177582 207162 266373 532746 1178657 2357314 3535971 7071942 10607913 20037169 21215826 40074338 60111507 120223014 180334521 360669042