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995682240 = 263357101163
BaseRepresentation
bin111011010110001…
…110011111000000
32120101112220021000
4323112032133000
54014343312430
6242444532000
733450105450
oct7326163700
92511486230
10995682240
11471044893
12239551000
1312b387ab7
1496345d60
155c62be60
hex3b58e7c0

995682240 has 448 divisors, whose sum is σ = 4078955520. Its totient is φ = 223948800.

The previous prime is 995682239. The next prime is 995682271. The reversal of 995682240 is 42286599.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×9956822403 (a number of 28 digits) contains 333 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6108399 + ... + 6108561.

Almost surely, 2995682240 is an apocalyptic number.

995682240 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 995682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039477760).

995682240 is an abundant number, since it is smaller than the sum of its proper divisors (3083273280).

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

995682240 is a wasteful number, since it uses less digits than its factorization.

995682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 995682240 is about 31554.4329690774. The cubic root of 995682240 is about 998.5586702333.

The spelling of 995682240 in words is "nine hundred ninety-five million, six hundred eighty-two thousand, two hundred forty".