Search a number
-
+
995110272 = 27351323107
BaseRepresentation
bin111011010100000…
…010110110000000
32120100110211200000
4323110002312000
54014222012042
6242424400000
733442204062
oct7324026600
92510424600
10995110272
11470794092
12239316000
1312b217660
1496237732
155c56774c
hex3b502d80

995110272 has 384 divisors, whose sum is σ = 3368252160. Its totient is φ = 290138112.

The previous prime is 995110271. The next prime is 995110309. The reversal of 995110272 is 272011599.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995110271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9300043 + ... + 9300149.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490).

Almost surely, 2995110272 is an apocalyptic number.

995110272 is a gapful number since it is divisible by the number (92) 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 995110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

995110272 is an abundant number, since it is smaller than the sum of its proper divisors (2373141888).

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

995110272 is a wasteful number, since it uses less digits than its factorization.

995110272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 995110272 is about 31545.3684714571. The cubic root of 995110272 is about 998.3674268219.

The spelling of 995110272 in words is "nine hundred ninety-five million, one hundred ten thousand, two hundred seventy-two".