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99046080 = 263257173
BaseRepresentation
bin1011110011101…
…01001011000000
320220101001200100
411321311023000
5200323433310
613454522400
72311610040
oct571651300
9226331610
1099046080
11509aa871
1229206400
131769b563
14d223720
158a66ec0
hex5e752c0

99046080 has 336 divisors, whose sum is σ = 413674560. Its totient is φ = 21307392.

The previous prime is 99046043. The next prime is 99046093. The reversal of 99046080 is 8064099.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5826232 + ... + 5826248.

Almost surely, 299046080 is an apocalyptic number.

99046080 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 99046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206837280).

99046080 is an abundant number, since it is smaller than the sum of its proper divisors (314628480).

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

99046080 is a wasteful number, since it uses less digits than its factorization.

99046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99046080 is about 9952.1897088028. The cubic root of 99046080 is about 462.6782638848.

The spelling of 99046080 in words is "ninety-nine million, forty-six thousand, eighty".