Search a number
-
+
360675042 = 23713739049
BaseRepresentation
bin10101011111110…
…111011011100010
3221010200012010220
4111133313123202
51214313100132
655442303510
711636454510
oct2537673342
9833605126
10360675042
11175656552
12a0957b96
13599530b0
1435c894b0
15219e6a2c
hex157f76e2

360675042 has 64 divisors (see below), whose sum is σ = 900076800. Its totient is φ = 93809664.

The previous prime is 360675019. The next prime is 360675067. The reversal of 360675042 is 240576063.

It is a junction number, because it is equal to n+sod(n) for n = 360674994 and 360675012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35334 + ... + 44382.

It is an arithmetic number, because the mean of its divisors is an integer number (14063700).

Almost surely, 2360675042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360675042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450038400).

360675042 is an abundant number, since it is smaller than the sum of its proper divisors (539401758).

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

360675042 is a wasteful number, since it uses less digits than its factorization.

360675042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 360675042 is about 18991.4465483807. The cubic root of 360675042 is about 711.8230225981.

The spelling of 360675042 in words is "three hundred sixty million, six hundred seventy-five thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 73 78 91 146 182 219 273 438 511 546 949 1022 1533 1898 2847 3066 5694 6643 9049 13286 18098 19929 27147 39858 54294 63343 117637 126686 190029 235274 352911 380058 660577 705822 823459 1321154 1646918 1981731 2470377 3963462 4624039 4940754 8587501 9248078 13872117 17175002 25762503 27744234 51525006 60112507 120225014 180337521 360675042