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916421040 = 24355174759
BaseRepresentation
bin110110100111110…
…111100110110000
32100212102000100000
4312213313212300
53334100433130
6230534030000
731465310313
oct6647674660
92325360300
10916421040
11430328767
12216aa8300
13117b25a92
14899d297a
15556c2260
hex369f79b0

916421040 has 480 divisors, whose sum is σ = 3509775360. Its totient is φ = 221294592.

The previous prime is 916420979. The next prime is 916421059. The reversal of 916421040 is 40124619.

916421040 is a `hidden beast` number, since 9 + 1 + 642 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 916420995 and 916421013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15532531 + ... + 15532589.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2916421040 is an apocalyptic number.

916421040 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 916421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

916421040 is an abundant number, since it is smaller than the sum of its proper divisors (2593354320).

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

916421040 is a wasteful number, since it uses less digits than its factorization.

916421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 916421040 is about 30272.4468783083. The cubic root of 916421040 is about 971.3260073789.

Adding to 916421040 its reverse (40124619), we get a palindrome (956545659).

The spelling of 916421040 in words is "nine hundred sixteen million, four hundred twenty-one thousand, forty".