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7085988 = 22337213103
BaseRepresentation
bin11011000001111110100100
3111100000011000
4123001332210
53303222423
6411513300
7114141600
oct33017644
914300130
107085988
113aaa898
122458830
1316113c0
14d26500
1594e843
hex6c1fa4

7085988 has 144 divisors (see below), whose sum is σ = 23237760. Its totient is φ = 1850688.

The previous prime is 7085983. The next prime is 7085999. The reversal of 7085988 is 8895807.

7085988 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×70859883 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7085983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68745 + ... + 68847.

Almost surely, 27085988 is an apocalyptic number.

7085988 is a gapful number since it is divisible by the number (78) 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 7085988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618880).

7085988 is an abundant number, since it is smaller than the sum of its proper divisors (16151772).

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

7085988 is a wasteful number, since it uses less digits than its factorization.

7085988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 7085988 is about 2661.9519154185. The cubic root of 7085988 is about 192.0732142656.

The spelling of 7085988 in words is "seven million, eighty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 103 108 117 126 147 156 182 189 196 206 234 252 273 294 309 351 364 378 412 441 468 546 588 618 637 702 721 756 819 882 927 1092 1236 1274 1323 1339 1404 1442 1638 1764 1854 1911 2163 2457 2548 2646 2678 2781 2884 3276 3708 3822 4017 4326 4914 5047 5292 5356 5562 5733 6489 7644 8034 8652 9373 9828 10094 11124 11466 12051 12978 15141 16068 17199 18746 19467 20188 22932 24102 25956 28119 30282 34398 36153 37492 38934 45423 48204 56238 60564 65611 68796 72306 77868 84357 90846 112476 131222 136269 144612 168714 181692 196833 253071 262444 272538 337428 393666 506142 545076 590499 787332 1012284 1180998 1771497 2361996 3542994 7085988