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995825040 = 24357312097
BaseRepresentation
bin111011010110110…
…001010110010000
32120101211011010220
4323112301112100
54014412400130
6242451553040
733451242000
oct7326612620
92511734126
10995825040
11471132101
122395bb780
1312b407ab2
1496382000
155c659410
hex3b5b1590

995825040 has 160 divisors (see below), whose sum is σ = 3600364800. Its totient is φ = 227598336.

The previous prime is 995825029. The next prime is 995825053. The reversal of 995825040 is 40528599.

995825040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 995824983 and 995825001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76272 + ... + 88368.

It is an arithmetic number, because the mean of its divisors is an integer number (22502280).

Almost surely, 2995825040 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 995825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800182400).

995825040 is an abundant number, since it is smaller than the sum of its proper divisors (2604539760).

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

995825040 is a wasteful number, since it uses less digits than its factorization.

995825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 995825040 is about 31556.6956445063. The cubic root of 995825040 is about 998.6064054631.

The spelling of 995825040 in words is "nine hundred ninety-five million, eight hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3920 4116 5145 5488 5880 6860 8232 10290 11760 12097 13720 16464 20580 24194 27440 36291 41160 48388 60485 72582 82320 84679 96776 120970 145164 169358 181455 193552 241940 254037 290328 338716 362910 423395 483880 508074 580656 592753 677432 725820 846790 967760 1016148 1185506 1270185 1354864 1451640 1693580 1778259 2032296 2371012 2540370 2903280 2963765 3387160 3556518 4064592 4149271 4742024 5080740 5927530 6774320 7113036 8298542 8891295 9484048 10161480 11855060 12447813 14226072 16597084 17782590 20322960 20746355 23710120 24895626 28452144 33194168 35565180 41492710 47420240 49791252 62239065 66388336 71130360 82985420 99582504 124478130 142260720 165970840 199165008 248956260 331941680 497912520 995825040