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945990090 = 23451167889
BaseRepresentation
bin111000011000101…
…010100111001010
32102221001021110000
4320120222213022
53414133140330
6233511503430
732304532413
oct7030524712
92387037400
10945990090
11445a943a1
12224987b76
13120ca9866
148d8cc80a
15580b3560
hex3862a9ca

945990090 has 40 divisors (see below), whose sum is σ = 2543664420. Its totient is φ = 252263808.

The previous prime is 945990077. The next prime is 945990091. The reversal of 945990090 is 90099549.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 896583249 + 49406841 = 29943^2 + 7029^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (945990091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 583135 + ... + 584754.

Almost surely, 2945990090 is an apocalyptic number.

945990090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

945990090 is an abundant number, since it is smaller than the sum of its proper divisors (1597674330).

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

945990090 is a wasteful number, since it uses less digits than its factorization.

945990090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167908 (or 1167899 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 945990090 is about 30756.9518970915. The cubic root of 945990090 is about 981.6624877276.

The spelling of 945990090 in words is "nine hundred forty-five million, nine hundred ninety thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1167889 2335778 3503667 5839445 7007334 10511001 11678890 17518335 21022002 31533003 35036670 52555005 63066006 94599009 105110010 157665015 189198018 315330030 472995045 945990090