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995132820 = 2235116532309
BaseRepresentation
bin111011010100001…
…000010110010100
32120100111222121010
4323110020112110
54014223222240
6242425052220
733442326603
oct7324102624
92510458533
10995132820
114707aa020
12239327070
1312b2249b6
1496241a3a
155c56e280
hex3b508594

995132820 has 96 divisors (see below), whose sum is σ = 3045651840. Its totient is φ = 240770560.

The previous prime is 995132813. The next prime is 995132821. The reversal of 995132820 is 28231599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995132821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 429826 + ... + 432134.

It is an arithmetic number, because the mean of its divisors is an integer number (31725540).

Almost surely, 2995132820 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 995132820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522825920).

995132820 is an abundant number, since it is smaller than the sum of its proper divisors (2050519020).

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

995132820 is a wasteful number, since it uses less digits than its factorization.

995132820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 995132820 is about 31545.7258594568. The cubic root of 995132820 is about 998.3749673660.

The spelling of 995132820 in words is "nine hundred ninety-five million, one hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 653 660 1306 1959 2309 2612 3265 3918 4618 6530 6927 7183 7836 9236 9795 11545 13060 13854 14366 19590 21549 23090 25399 27708 28732 34635 35915 39180 43098 46180 50798 69270 71830 76197 86196 101596 107745 126995 138540 143660 152394 215490 253990 304788 380985 430980 507980 761970 1507777 1523940 3015554 4523331 6031108 7538885 9046662 15077770 16585547 18093324 22616655 30155540 33171094 45233310 49756641 66342188 82927735 90466620 99513282 165855470 199026564 248783205 331710940 497566410 995132820