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9942150 = 235279839
BaseRepresentation
bin100101111011…
…010010000110
3200201010001210
4211323102012
510021122100
6553032250
7150335601
oct45732206
920633053
109942150
115680759
1233b5686
1320a143a
14146b338
15d15c50
hex97b486

9942150 has 48 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 2614560.

The previous prime is 9942143. The next prime is 9942151. The reversal of 9942150 is 512499.

It is a happy number.

9942150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9942151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11431 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 29942150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

9942150 is an abundant number, since it is smaller than the sum of its proper divisors (15056250).

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

9942150 is a wasteful number, since it uses less digits than its factorization.

9942150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 9942150 is about 3153.1175049465. The cubic root of 9942150 is about 215.0272184758.

The spelling of 9942150 in words is "nine million, nine hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 790 839 1185 1678 1975 2370 2517 3950 4195 5034 5925 8390 11850 12585 20975 25170 41950 62925 66281 125850 132562 198843 331405 397686 662810 994215 1657025 1988430 3314050 4971075 9942150