Search a number
-
+
360020052 = 2235727559
BaseRepresentation
bin10101011101010…
…111100001010100
3221002102220200000
4111131113201110
51214131120202
655420251300
711631056100
oct2535274124
9832386600
10360020052
11175249437
12a06a0b30
1359783c22
1435b58900
152191791c
hex15757854

360020052 has 108 divisors (see below), whose sum is σ = 1097984160. Its totient is φ = 102849264.

The previous prime is 360020039. The next prime is 360020069. The reversal of 360020052 is 250020063.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×3600200522 = 259228875684165408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43849 + ... + 51407.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2360020052 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 360020052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080).

360020052 is an abundant number, since it is smaller than the sum of its proper divisors (737964108).

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

360020052 is a wasteful number, since it uses less digits than its factorization.

360020052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 360020052 is about 18974.1943702493. The cubic root of 360020052 is about 711.3918685833.

The spelling of 360020052 in words is "three hundred sixty million, twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7559 7938 11907 15118 15876 22677 23814 30236 45354 47628 52913 68031 90708 105826 136062 158739 204093 211652 272124 317478 370391 408186 476217 612279 634956 740782 816372 952434 1111173 1224558 1428651 1481564 1836837 1904868 2222346 2449116 2857302 3333519 3673674 4285953 4444692 5714604 6667038 7347348 8571906 10000557 12857859 13334076 17143812 20001114 25715718 30001671 40002228 51431436 60003342 90005013 120006684 180010026 360020052