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9940090000 = 24549972
BaseRepresentation
bin10010100000111100…
…11011110010010000
3221122202000220001111
421100132123302100
5130324130340000
64322202343104
7501216241141
oct112036336220
927582026044
109940090000
114240a15815
121b14abaa94
13c25472479
146a4209ac8
153d29c6cba
hex25079bc90

9940090000 has 75 divisors (see below), whose sum is σ = 24090114477. Its totient is φ = 3972048000.

The previous prime is 9940089911. The next prime is 9940090037. The reversal of 9940090000 is 900499.

The square root of 9940090000 is 99700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3796038544 + 6144051456 = 61612^2 + 78384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9969502 + ... + 9970498.

Almost surely, 29940090000 is an apocalyptic number.

9940090000 is the 99700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9940090000

9940090000 is an abundant number, since it is smaller than the sum of its proper divisors (14150024477).

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

9940090000 is an frugal number, since it uses more digits than its factorization.

9940090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The cubic root of 9940090000 is about 2150.1236633395.

Multiplying 9940090000 by its product of nonzero digits (2916), we get a square (28985302440000 = 53838002).

Adding to 9940090000 its reverse (900499), we get a palindrome (9940990499).

The spelling of 9940090000 in words is "nine billion, nine hundred forty million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 997 1000 1250 1994 2000 2500 3988 4985 5000 7976 9970 10000 15952 19940 24925 39880 49850 79760 99700 124625 199400 249250 398800 498500 623125 994009 997000 1246250 1988018 1994000 2492500 3976036 4970045 4985000 7952072 9940090 9970000 15904144 19880180 24850225 39760360 49700450 79520720 99400900 124251125 198801800 248502250 397603600 497004500 621255625 994009000 1242511250 1988018000 2485022500 4970045000 9940090000