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990000 = 24325411
BaseRepresentation
bin11110001101100110000
31212022000200
43301230300
5223140000
633115200
711262204
oct3615460
91768020
10990000
11616890
123b8b00
132887cb
141bab04
15148500
hexf1b30

990000 has 150 divisors (see below), whose sum is σ = 3776916. Its totient is φ = 240000.

The previous prime is 989999. The next prime is 990001. The reversal of 990000 is 99.

990000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (989999) and next prime (990001).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 (990001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89995 + ... + 90005.

2990000 is an apocalyptic number.

990000 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 990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888458).

990000 is an abundant number, since it is smaller than the sum of its proper divisors (2786916).

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

990000 is a wasteful number, since it uses less digits than its factorization.

990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 990000 is about 994.9874371066. The cubic root of 990000 is about 99.6655493413.

Adding to 990000 its reverse (99), we get a palindrome (990099).

Multiplying 990000 by its reverse (99), we get a square (98010000 = 99002).

990000 divided by its reverse (99) gives a 4-th power (10000 = 104).

It can be divided in two parts, 9 and 90000, that multiplied together give a 4-th power (810000 = 304).

The spelling of 990000 in words is "nine hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 99 100 110 120 125 132 144 150 165 176 180 198 200 220 225 240 250 264 275 300 330 360 375 396 400 440 450 495 500 528 550 600 625 660 720 750 792 825 880 900 990 1000 1100 1125 1200 1250 1320 1375 1500 1584 1650 1800 1875 1980 2000 2200 2250 2475 2500 2640 2750 3000 3300 3600 3750 3960 4125 4400 4500 4950 5000 5500 5625 6000 6600 6875 7500 7920 8250 9000 9900 10000 11000 11250 12375 13200 13750 15000 16500 18000 19800 20625 22000 22500 24750 27500 30000 33000 39600 41250 45000 49500 55000 61875 66000 82500 90000 99000 110000 123750 165000 198000 247500 330000 495000 990000