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99965000 = 235419993
BaseRepresentation
bin1011111010101…
…01100001001000
320222002202012102
411331111201020
5201042340000
613530332532
72322455102
oct575254110
9228082172
1099965000
1151478203
122958a148
13179308b5
14d3c2572
158b993d5
hex5f55848

99965000 has 40 divisors (see below), whose sum is σ = 234229710. Its totient is φ = 39984000.

The previous prime is 99964993. The next prime is 99965027. The reversal of 99965000 is 56999.

It can be written as a sum of positive squares in 5 ways, for example, as 2390116 + 97574884 = 1546^2 + 9878^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

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 9 ways as a sum of consecutive naturals, for example, 4997 + ... + 14996.

Almost surely, 299965000 is an apocalyptic number.

It is an amenable number.

99965000 is an abundant number, since it is smaller than the sum of its proper divisors (134264710).

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

99965000 is a wasteful number, since it uses less digits than its factorization.

99965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20019 (or 20000 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 99965000 is about 9998.2498468482. The cubic root of 99965000 is about 464.1047251726.

The spelling of 99965000 in words is "ninety-nine million, nine hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 19993 39986 79972 99965 159944 199930 399860 499825 799720 999650 1999300 2499125 3998600 4998250 9996500 12495625 19993000 24991250 49982500 99965000