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99000990 = 23251129091
BaseRepresentation
bin1011110011010…
…10001010011110
320220021202211100
411321222022132
5200321012430
613453533530
72311331424
oct571521236
9226252740
1099000990
1150979a00
12291a42a6
1317683b8a
14d211114
158a58960
hex5e6a29e

99000990 has 72 divisors (see below), whose sum is σ = 282961224. Its totient is φ = 23997600.

The previous prime is 99000977. The next prime is 99000991. The reversal of 99000990 is 9900099.

It can be divided in two parts, 990009 and 90, that added together give a palindrome (990099).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99000991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6345 + ... + 15435.

It is an arithmetic number, because the mean of its divisors is an integer number (3930017).

Almost surely, 299000990 is an apocalyptic number.

99000990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99000990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141480612).

99000990 is an abundant number, since it is smaller than the sum of its proper divisors (183960234).

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

99000990 is a wasteful number, since it uses less digits than its factorization.

99000990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 99000990 is about 9949.9241203137. The cubic root of 99000990 is about 462.6080429348.

The spelling of 99000990 in words is "ninety-nine million, nine hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 9091 10890 18182 27273 45455 54546 81819 90910 100001 136365 163638 200002 272730 300003 409095 500005 600006 818190 900009 1000010 1100011 1500015 1800018 2200022 3000030 3300033 4500045 5500055 6600066 9000090 9900099 11000110 16500165 19800198 33000330 49500495 99000990