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99920000 = 27541249
BaseRepresentation
bin1011111010010…
…10100010000000
320222000110110202
411331022202000
5201034420000
613525344332
72322206645
oct575124200
9228013422
1099920000
1151447414
12295680a8
131791627b
14d3addcc
158b8add5
hex5f4a880

99920000 has 80 divisors (see below), whose sum is σ = 248943750. Its totient is φ = 39936000.

The previous prime is 99919997. The next prime is 99920021. The reversal of 99920000 is 2999.

It can be written as a sum of positive squares in 5 ways, for example, as 399424 + 99520576 = 632^2 + 9976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79376 + ... + 80624.

Almost surely, 299920000 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 99920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124471875).

99920000 is an abundant number, since it is smaller than the sum of its proper divisors (149023750).

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

99920000 is an equidigital number, since it uses as much as digits as its factorization.

99920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 99920000 is about 9995.9991996798. Note that the first 3 decimals coincide. The cubic root of 99920000 is about 464.0350746375.

Adding to 99920000 its reverse (2999), we get a palindrome (99922999).

The spelling of 99920000 in words is "ninety-nine million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1249 1250 1600 2000 2498 2500 3200 4000 4996 5000 6245 8000 9992 10000 12490 16000 19984 20000 24980 31225 39968 40000 49960 62450 79936 80000 99920 124900 156125 159872 199840 249800 312250 399680 499600 624500 780625 799360 999200 1249000 1561250 1998400 2498000 3122500 3996800 4996000 6245000 9992000 12490000 19984000 24980000 49960000 99920000