Search a number
-
+
99542520 = 23355721119
BaseRepresentation
bin1011110111011…
…10010111111000
320221022021200000
411323232113320
5200440330040
613513313000
72316045300
oct573562770
9227267600
1099542520
1151209850
1229405760
13178134cc
14d312600
158b14130
hex5eee5f8

99542520 has 576 divisors, whose sum is σ = 448156800. Its totient is φ = 19595520.

The previous prime is 99542507. The next prime is 99542557. The reversal of 99542520 is 2524599.

It is a happy number.

99542520 is a `hidden beast` number, since 9 + 95 + 42 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5239071 + ... + 5239089.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 299542520 is an apocalyptic number.

99542520 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 99542520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

99542520 is an abundant number, since it is smaller than the sum of its proper divisors (348614280).

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

99542520 is a wasteful number, since it uses less digits than its factorization.

99542520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 99542520 is about 9977.0997789939. The cubic root of 99542520 is about 463.4499898913.

The spelling of 99542520 in words is "ninety-nine million, five hundred forty-two thousand, five hundred twenty".