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99988000 = 255373571
BaseRepresentation
bin1011111010110…
…11001000100000
320222010220202021
411331123020200
5201044104000
613531031224
72322612130
oct575331040
9228126667
1099988000
1151493512
122959b514
131793b1c8
14d3caac0
158ba111a
hex5f5b220

99988000 has 96 divisors (see below), whose sum is σ = 280844928. Its totient is φ = 34272000.

The previous prime is 99987997. The next prime is 99988003. The reversal of 99988000 is 88999.

It is an interprime number because it is at equal distance from previous prime (99987997) and next prime (99988003).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99988003) 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 15 ways as a sum of consecutive naturals, for example, 26215 + ... + 29785.

It is an arithmetic number, because the mean of its divisors is an integer number (2925468).

Almost surely, 299988000 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 99988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140422464).

99988000 is an abundant number, since it is smaller than the sum of its proper divisors (180856928).

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

99988000 is a wasteful number, since it uses less digits than its factorization.

99988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 99988000 is about 9999.3999819989. The cubic root of 99988000 is about 464.1403162632.

The spelling of 99988000 in words is "ninety-nine million, nine hundred eighty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 3571 4000 5600 7000 7142 14000 14284 17855 24997 28000 28568 35710 49994 57136 71420 89275 99988 114272 124985 142840 178550 199976 249970 285680 357100 399952 446375 499940 571360 624925 714200 799904 892750 999880 1249850 1428400 1785500 1999760 2499700 2856800 3124625 3571000 3999520 4999400 6249250 7142000 9998800 12498500 14284000 19997600 24997000 49994000 99988000