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997890 = 235293137
BaseRepresentation
bin11110011101000000010
31212200211220
43303220002
5223413030
633215510
711324205
oct3635002
91780756
10997890
11621803
12401596
1328c28a
141bd93c
1514aa10
hexf3a02

997890 has 64 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 241920.

The previous prime is 997889. The next prime is 997891. The reversal of 997890 is 98799.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (997889) and next prime (997891).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (997891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26952 + ... + 26988.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2997890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280).

997890 is an abundant number, since it is smaller than the sum of its proper divisors (1628670).

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

997890 is a wasteful number, since it uses less digits than its factorization.

997890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 997890 is about 998.9444428996. The cubic root of 997890 is about 99.9296171408.

The spelling of 997890 in words is "nine hundred ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 31 37 58 62 74 87 93 111 145 155 174 185 186 222 290 310 370 435 465 555 870 899 930 1073 1110 1147 1798 2146 2294 2697 3219 3441 4495 5365 5394 5735 6438 6882 8990 10730 11470 13485 16095 17205 26970 32190 33263 34410 66526 99789 166315 199578 332630 498945 997890