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995129640 = 2332513720177
BaseRepresentation
bin111011010100000…
…111100100101000
32120100111211020100
4323110013210220
54014223122030
6242425025400
733442314411
oct7324074450
92510454210
10995129640
114707a769a
12239325260
1312b22340b
1496240808
155c56d360
hex3b507928

995129640 has 96 divisors (see below), whose sum is σ = 3257939880. Its totient is φ = 263417856.

The previous prime is 995129633. The next prime is 995129647. The reversal of 995129640 is 46921599.

995129640 is a `hidden beast` number, since 9 + 9 + 512 + 96 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (995129633) and next prime (995129647).

It can be written as a sum of positive squares in 4 ways, for example, as 896762916 + 98366724 = 29946^2 + 9918^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (995129647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39232 + ... + 59408.

Almost surely, 2995129640 is an apocalyptic number.

995129640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995129640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628969940).

995129640 is an abundant number, since it is smaller than the sum of its proper divisors (2262810240).

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

995129640 is a wasteful number, since it uses less digits than its factorization.

995129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20331 (or 20324 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 995129640 is about 31545.6754563918. The cubic root of 995129640 is about 998.3739039114.

The spelling of 995129640 in words is "nine hundred ninety-five million, one hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 20177 24660 40354 49320 60531 80708 100885 121062 161416 181593 201770 242124 302655 363186 403540 484248 605310 726372 807080 907965 1210620 1452744 1815930 2421240 2764249 3631860 5528498 7263720 8292747 11056996 13821245 16585494 22113992 24878241 27642490 33170988 41463735 49756482 55284980 66341976 82927470 99512964 110569960 124391205 165854940 199025928 248782410 331709880 497564820 995129640