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202082076 = 2232721091051
BaseRepresentation
bin11000000101110…
…00011100011100
3112002020211111100
430002320130130
5403213111301
632015153100
75002445400
oct1402703434
9462224440
10202082076
11a4085289
1257815790
1332b35bc1
141cba5100
1512b1b286
hexc0b871c

202082076 has 108 divisors (see below), whose sum is σ = 600239640. Its totient is φ = 57153600.

The previous prime is 202082059. The next prime is 202082107. The reversal of 202082076 is 670280202.

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, 191751 + ... + 192801.

Almost surely, 2202082076 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 202082076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300119820).

202082076 is an abundant number, since it is smaller than the sum of its proper divisors (398157564).

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

202082076 is a wasteful number, since it uses less digits than its factorization.

202082076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 202082076 is about 14215.5575339133. The cubic root of 202082076 is about 586.8258884005.

The spelling of 202082076 in words is "two hundred two million, eighty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 294 327 436 441 588 654 763 882 981 1051 1308 1526 1764 1962 2102 2289 3052 3153 3924 4204 4578 5341 6306 6867 7357 9156 9459 10682 12612 13734 14714 16023 18918 21364 22071 27468 29428 32046 37836 44142 48069 51499 64092 66213 88284 96138 102998 114559 132426 154497 192276 205996 229118 264852 308994 343677 458236 463491 617988 687354 801913 926982 1031031 1374708 1603826 1853964 2062062 2405739 3207652 4124124 4811478 5613391 7217217 9622956 11226782 14434434 16840173 22453564 28868868 33680346 50520519 67360692 101041038 202082076