Search a number
-
+
916728840 = 233454167103
BaseRepresentation
bin110110101001000…
…010110000001000
32100212222122120000
4312221002300020
53334140310330
6230544403000
731501031556
oct6651026010
92325878500
10916728840
11430518a45
12217016460
13117c02c01
1489a72bd6
1555733560
hex36a42c08

916728840 has 320 divisors, whose sum is σ = 3234591360. Its totient is φ = 232657920.

The previous prime is 916728833. The next prime is 916728847. The reversal of 916728840 is 48827619.

It is an interprime number because it is at equal distance from previous prime (916728833) and next prime (916728847).

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 not an unprimeable number, because it can be changed into a prime (916728847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8900229 + ... + 8900331.

It is an arithmetic number, because the mean of its divisors is an integer number (10108098).

Almost surely, 2916728840 is an apocalyptic number.

916728840 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 916728840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617295680).

916728840 is an abundant number, since it is smaller than the sum of its proper divisors (2317862520).

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

916728840 is a wasteful number, since it uses less digits than its factorization.

916728840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 916728840 is about 30277.5302823728. The cubic root of 916728840 is about 971.4347422165.

The spelling of 916728840 in words is "nine hundred sixteen million, seven hundred twenty-eight thousand, eight hundred forty".