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99966912 = 2632931777
BaseRepresentation
bin1011111010101…
…01111111000000
320222002211211020
411331111333000
5201042420122
613530345440
72322463503
oct575257700
9228084736
1099966912
1151479691
122958b280
1317931726
14d3c313a
158b99c5c
hex5f55fc0

99966912 has 56 divisors (see below), whose sum is σ = 265547856. Its totient is φ = 33189888.

The previous prime is 99966899. The next prime is 99966929. The reversal of 99966912 is 21966999.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55368 + ... + 57144.

It is an arithmetic number, because the mean of its divisors is an integer number (4741926).

Almost surely, 299966912 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 99966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132773928).

99966912 is an abundant number, since it is smaller than the sum of its proper divisors (165580944).

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

99966912 is a wasteful number, since it uses less digits than its factorization.

99966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2075 counting only the distinct ones).

The product of its digits is 472392, while the sum is 51.

The square root of 99966912 is about 9998.3454631254. The cubic root of 99966912 is about 464.1076840835.

The spelling of 99966912 in words is "ninety-nine million, nine hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 879 1172 1758 1777 2344 3516 3554 4688 5331 7032 7108 9376 10662 14064 14216 18752 21324 28128 28432 42648 56256 56864 85296 113728 170592 341184 520661 1041322 1561983 2082644 3123966 4165288 6247932 8330576 12495864 16661152 24991728 33322304 49983456 99966912