Search a number
-
+
1020996 = 223279359
BaseRepresentation
bin11111001010001000100
31220212112200
43321101010
5230132441
633514500
711451444
oct3712104
91825480
101020996
116380a9
12412a30
13299952
141c8124
151527b6
hexf9444

1020996 has 36 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 335088.

The previous prime is 1020991. The next prime is 1020997. The reversal of 1020996 is 6990201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1020991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2665 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (72800).

21020996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

1020996 is an abundant number, since it is smaller than the sum of its proper divisors (1599804).

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

1020996 is a wasteful number, since it uses less digits than its factorization.

1020996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1020996 is about 1010.4434669985. The cubic root of 1020996 is about 100.6950248796.

It can be divided in two parts, 1020 and 996, that added together give a triangular number (2016 = T63).

The spelling of 1020996 in words is "one million, twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 359 474 711 718 948 1077 1422 1436 2154 2844 3231 4308 6462 12924 28361 56722 85083 113444 170166 255249 340332 510498 1020996