Search a number
-
+
1020642 = 237191279
BaseRepresentation
bin11111001001011100010
31220212001120
43321023202
5230130032
633513110
711450430
oct3711342
91825046
101020642
11637907
12412796
1329973c
141c7d50
1515262c
hexf92e2

1020642 has 32 divisors (see below), whose sum is σ = 2457600. Its totient is φ = 276048.

The previous prime is 1020631. The next prime is 1020667. The reversal of 1020642 is 2460201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (76800).

21020642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228800).

1020642 is an abundant number, since it is smaller than the sum of its proper divisors (1436958).

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

1020642 is a wasteful number, since it uses less digits than its factorization.

1020642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1020642 is about 1010.2682812006. The cubic root of 1020642 is about 100.6833858658.

Adding to 1020642 its reverse (2460201), we get a palindrome (3480843).

The spelling of 1020642 in words is "one million, twenty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1279 2558 3837 7674 8953 17906 24301 26859 48602 53718 72903 145806 170107 340214 510321 1020642