Search a number
-
+
99540000 = 253254779
BaseRepresentation
bin1011110111011…
…01110000100000
320221022011012200
411323231300200
5200440240000
613513253200
72316035040
oct573556040
9227264180
1099540000
115120796a
1229404200
1317812311
14d311720
158b13500
hex5eedc20

99540000 has 360 divisors, whose sum is σ = 409368960. Its totient is φ = 22464000.

The previous prime is 99539959. The next prime is 99540017. The reversal of 99540000 is 4599.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259961 + ... + 1260039.

It is an arithmetic number, because the mean of its divisors is an integer number (1137136).

Almost surely, 299540000 is an apocalyptic number.

99540000 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 99540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204684480).

99540000 is an abundant number, since it is smaller than the sum of its proper divisors (309828960).

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

99540000 is a wasteful number, since it uses less digits than its factorization.

99540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 99540000 is about 9976.9734889895. The cubic root of 99540000 is about 463.4460789869.

Adding to 99540000 its reverse (4599), we get a palindrome (99544599).

The spelling of 99540000 in words is "ninety-nine million, five hundred forty thousand".