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99000900 = 22335237991
BaseRepresentation
bin1011110011010…
…10001001000100
320220021202201000
411321222021010
5200321012100
613453533300
72311331235
oct571521104
9226252630
1099000900
1150979929
12291a4230
1317683b1b
14d21108c
158a58900
hex5e6a244

99000900 has 144 divisors (see below), whose sum is σ = 327201280. Its totient is φ = 25660800.

The previous prime is 99000893. The next prime is 99000917. The reversal of 99000900 is 900099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99405 + ... + 100395.

Almost surely, 299000900 is an apocalyptic number.

99000900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163600640).

99000900 is an abundant number, since it is smaller than the sum of its proper divisors (228200380).

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

99000900 is a wasteful number, since it uses less digits than its factorization.

99000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 99000900 is about 9949.9195976651. The cubic root of 99000900 is about 462.6079027519.

Adding to 99000900 its reverse (900099), we get a palindrome (99900999).

The spelling of 99000900 in words is "ninety-nine million, nine hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 991 999 1110 1332 1350 1665 1850 1982 1998 2220 2700 2775 2973 3330 3700 3964 3996 4955 4995 5550 5946 6660 8325 8919 9910 9990 11100 11892 14865 16650 17838 19820 19980 24775 24975 26757 29730 33300 35676 36667 44595 49550 49950 53514 59460 73334 74325 89190 99100 99900 107028 110001 133785 146668 148650 178380 183335 220002 222975 267570 297300 330003 366670 440004 445950 535140 550005 660006 668925 733340 891900 916675 990009 1100010 1320012 1337850 1650015 1833350 1980018 2200020 2675700 2750025 3300030 3666700 3960036 4950045 5500050 6600060 8250075 9900090 11000100 16500150 19800180 24750225 33000300 49500450 99000900