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99074800 = 24521122389
BaseRepresentation
bin1011110011111…
…00001011110000
320220102112002001
411321330023300
5200330343200
613455303344
72312056546
oct571741360
9226375061
1099074800
1150a1a400
122921ab54
13176ab656
14d22dd96
158a7076a
hex5e7c2f0

99074800 has 180 divisors, whose sum is σ = 276076080. Its totient is φ = 34073600.

The previous prime is 99074783. The next prime is 99074879. The reversal of 99074800 is 847099.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 99074800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1113156 + ... + 1113244.

It is an arithmetic number, because the mean of its divisors is an integer number (1533756).

Almost surely, 299074800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038040).

99074800 is an abundant number, since it is smaller than the sum of its proper divisors (177001280).

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

99074800 is a wasteful number, since it uses less digits than its factorization.

99074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 99074800 is about 9953.6325027600. The cubic root of 99074800 is about 462.7229798917.

The spelling of 99074800 in words is "ninety-nine million, seventy-four thousand, eight hundred".