Search a number
-
+
99417240 = 23335137397
BaseRepresentation
bin1011110110011…
…11110010011000
320221001220211000
411323033302120
5200422322430
613510505000
72315014116
oct573176230
9227056730
1099417240
115113370a
1229365160
131779b490
14d2bcab6
158adbe60
hex5ecfc98

99417240 has 256 divisors, whose sum is σ = 365500800. Its totient is φ = 23887872.

The previous prime is 99417211. The next prime is 99417281. The reversal of 99417240 is 4271499.

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

It is a junction number, because it is equal to n+sod(n) for n = 99417195 and 99417204.

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, 1024872 + ... + 1024968.

Almost surely, 299417240 is an apocalyptic number.

99417240 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 99417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182750400).

99417240 is an abundant number, since it is smaller than the sum of its proper divisors (266083560).

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

99417240 is a wasteful number, since it uses less digits than its factorization.

99417240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 99417240 is about 9970.8194247013. The cubic root of 99417240 is about 463.2554820920.

The spelling of 99417240 in words is "ninety-nine million, four hundred seventeen thousand, two hundred forty".