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84012096 = 2637173677
BaseRepresentation
bin1010000000111…
…10110001000000
312212002020221010
411000132301000
5133001341341
612200400520
72040043140
oct500366100
9185066833
1084012096
1143471593
1224176140
13145365cc
14b22c920
157597716
hex501ec40

84012096 has 112 divisors (see below), whose sum is σ = 269053056. Its totient is φ = 22585344.

The previous prime is 84012041. The next prime is 84012121. The reversal of 84012096 is 69021048.

It is a tau number, because it is divible by the number of its divisors (112).

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, 21010 + ... + 24686.

Almost surely, 284012096 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 84012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134526528).

84012096 is an abundant number, since it is smaller than the sum of its proper divisors (185040960).

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

84012096 is a wasteful number, since it uses less digits than its factorization.

84012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 84012096 is about 9165.8112570574. The cubic root of 84012096 is about 437.9729346717.

It can be divided in two parts, 8 and 4012096, that added together give a palindrome (4012104).

The spelling of 84012096 in words is "eighty-four million, twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3677 3808 5712 7354 7616 11031 11424 14708 22062 22848 25739 29416 44124 51478 58832 62509 77217 88248 102956 117664 125018 154434 176496 187527 205912 235328 250036 308868 352992 375054 411824 437563 500072 617736 705984 750108 823648 875126 1000144 1235472 1312689 1500216 1647296 1750252 2000288 2470944 2625378 3000432 3500504 4000576 4941888 5250756 6000864 7001008 10501512 12001728 14002016 21003024 28004032 42006048 84012096