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84061056 = 2731779163
BaseRepresentation
bin1010000001010…
…10101110000000
312212011202002110
411000222232000
5133004423211
612201415320
72040335652
oct500525600
9185152073
1084061056
11434a5352
122419a540
1314552991
14b2426d2
1575a6ea6
hex502ab80

84061056 has 128 divisors (see below), whose sum is σ = 240883200. Its totient is φ = 25878528.

The previous prime is 84061049. The next prime is 84061069. The reversal of 84061056 is 65016048.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×840610562 = 14132522271670272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515631 + ... + 515793.

It is an arithmetic number, because the mean of its divisors is an integer number (1881900).

Almost surely, 284061056 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 84061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

84061056 is an abundant number, since it is smaller than the sum of its proper divisors (156822144).

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

84061056 is a wasteful number, since it uses less digits than its factorization.

84061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 84061056 is about 9168.4816627400. The cubic root of 84061056 is about 438.0579977827.

The spelling of 84061056 in words is "eighty-four million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 163 192 204 237 272 316 326 384 408 474 489 544 632 652 816 948 978 1088 1264 1304 1343 1632 1896 1956 2176 2528 2608 2686 2771 3264 3792 3912 4029 5056 5216 5372 5542 6528 7584 7824 8058 8313 10112 10432 10744 11084 12877 15168 15648 16116 16626 20864 21488 22168 25754 30336 31296 32232 33252 38631 42976 44336 51508 62592 64464 66504 77262 85952 88672 103016 128928 133008 154524 171904 177344 206032 218909 257856 266016 309048 354688 412064 437818 515712 532032 618096 656727 824128 875636 1064064 1236192 1313454 1648256 1751272 2472384 2626908 3502544 4944768 5253816 7005088 10507632 14010176 21015264 28020352 42030528 84061056