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995716320 = 253510719387
BaseRepresentation
bin111011010110010…
…110110011100000
32120101121122000020
4323112112303200
54014400410240
6242445353440
733450310014
oct7326266340
92511548006
10995716320
11471068455
12239568880
1312b39a471
1496354544
155c6370d0
hex3b596ce0

995716320 has 96 divisors (see below), whose sum is σ = 3165982848. Its totient is φ = 263029248.

The previous prime is 995716313. The next prime is 995716343. The reversal of 995716320 is 23617599.

It is a tau number, because it is divible by the number of its divisors (96).

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, 41667 + ... + 61053.

It is an arithmetic number, because the mean of its divisors is an integer number (32978988).

Almost surely, 2995716320 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 995716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582991424).

995716320 is an abundant number, since it is smaller than the sum of its proper divisors (2170266528).

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

995716320 is a wasteful number, since it uses less digits than its factorization.

995716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19512 (or 19504 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 995716320 is about 31554.9729836677. The cubic root of 995716320 is about 998.5700629212.

The spelling of 995716320 in words is "nine hundred ninety-five million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 12840 17120 19387 25680 38774 51360 58161 77548 96935 116322 155096 193870 232644 290805 310192 387740 465288 581610 620384 775480 930576 1163220 1550960 1861152 2074409 2326440 3101920 4148818 4652880 6223227 8297636 9305760 10372045 12446454 16595272 20744090 24892908 31116135 33190544 41488180 49785816 62232270 66381088 82976360 99571632 124464540 165952720 199143264 248929080 331905440 497858160 995716320