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96807636 = 2234734093
BaseRepresentation
bin1011100010100…
…10101011010100
320202011100010000
411301102223110
5144240321021
613334531300
72253565002
oct561225324
9222140100
1096807636
114a711012
1228506b30
1317096733
14cbdda72
158773b26
hex5c52ad4

96807636 has 60 divisors (see below), whose sum is σ = 256603732. Its totient is φ = 31819392.

The previous prime is 96807629. The next prime is 96807647. The reversal of 96807636 is 63670869.

96807636 is a `hidden beast` number, since 9 + 6 + 8 + 0 + 7 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47527236 + 49280400 = 6894^2 + 7020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96807591 and 96807600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21606 + ... + 25698.

Almost surely, 296807636 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 96807636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128301866).

96807636 is an abundant number, since it is smaller than the sum of its proper divisors (159796096).

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

96807636 is a wasteful number, since it uses less digits than its factorization.

96807636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96807636 is about 9839.0871527800. The cubic root of 96807636 is about 459.1661579648.

The spelling of 96807636 in words is "ninety-six million, eight hundred seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 4093 5913 7884 8186 11826 12279 16372 23652 24558 36837 49116 73674 110511 147348 221022 298789 331533 442044 597578 663066 896367 1195156 1326132 1792734 2689101 3585468 5378202 8067303 10756404 16134606 24201909 32269212 48403818 96807636