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99020800 = 21252967
BaseRepresentation
bin1011110011011…
…11000000000000
320220022210000001
411321233000000
5200322131200
613454205344
72311443244
oct571570000
9226283001
1099020800
115099287a
12291b3854
131768cbb8
14d218424
158a5e76a
hex5e6f000

99020800 has 78 divisors (see below), whose sum is σ = 245795528. Its totient is φ = 39567360.

The previous prime is 99020797. The next prime is 99020809. The reversal of 99020800 is 802099.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99020809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101917 + ... + 102883.

Almost surely, 299020800 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 99020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122897764).

99020800 is an abundant number, since it is smaller than the sum of its proper divisors (146774728).

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

99020800 is an equidigital number, since it uses as much as digits as its factorization.

99020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 99020800 is about 9950.9195554984. The cubic root of 99020800 is about 462.6388966806.

Adding to 99020800 its reverse (802099), we get a palindrome (99822899).

The spelling of 99020800 in words is "ninety-nine million, twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 967 1024 1280 1600 1934 2048 2560 3200 3868 4096 4835 5120 6400 7736 9670 10240 12800 15472 19340 20480 24175 25600 30944 38680 48350 51200 61888 77360 96700 102400 123776 154720 193400 247552 309440 386800 495104 618880 773600 990208 1237760 1547200 1980416 2475520 3094400 3960832 4951040 6188800 9902080 12377600 19804160 24755200 49510400 99020800