Search a number
-
+
995670720 = 263251153593
BaseRepresentation
bin111011010110001…
…011101011000000
32120101112022110100
4323112023223000
54014342430340
6242444402400
733450030042
oct7326135300
92511468410
10995670720
11471037170
12239546400
1312b382795
1496341a92
155c628830
hex3b58bac0

995670720 has 336 divisors, whose sum is σ = 3812938272. Its totient is φ = 236421120.

The previous prime is 995670677. The next prime is 995670721. The reversal of 995670720 is 27076599.

995670720 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 (45).

It is not an unprimeable number, because it can be changed into a prime (995670721) 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, 1678744 + ... + 1679336.

Almost surely, 2995670720 is an apocalyptic number.

995670720 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 995670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906469136).

995670720 is an abundant number, since it is smaller than the sum of its proper divisors (2817267552).

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

995670720 is a wasteful number, since it uses less digits than its factorization.

995670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 995670720 is about 31554.2504268442. The cubic root of 995670720 is about 998.5548191250.

The spelling of 995670720 in words is "nine hundred ninety-five million, six hundred seventy thousand, seven hundred twenty".