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99961728 = 273260317
BaseRepresentation
bin1011111010101…
…00101110000000
320222002120201020
411331110232000
5201042233403
613530305440
72322442416
oct575245600
9228076636
1099961728
11514757a9
1229588280
131792c269
14d3c12b6
158b98453
hex5f54b80

99961728 has 32 divisors (see below), whose sum is σ = 265524360. Its totient is φ = 33320448.

The previous prime is 99961727. The next prime is 99961769. The reversal of 99961728 is 82716999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99961723) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 129775 + ... + 130542.

Almost surely, 299961728 is an apocalyptic number.

It is an amenable number.

99961728 is an abundant number, since it is smaller than the sum of its proper divisors (165562632).

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

99961728 is a wasteful number, since it uses less digits than its factorization.

99961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260334 (or 260322 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 99961728 is about 9998.0862168717. The cubic root of 99961728 is about 464.0996615096.

The spelling of 99961728 in words is "ninety-nine million, nine hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 260317 520634 780951 1041268 1561902 2082536 3123804 4165072 6247608 8330144 12495216 16660288 24990432 33320576 49980864 99961728