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1020084 = 223132503
BaseRepresentation
bin11111001000010110100
31220211021220
43321002310
5230120314
633510340
711446002
oct3710264
91824256
101020084
1163744a
124123b0
13299400
141c7a72
151523a9
hexf90b4

1020084 has 36 divisors (see below), whose sum is σ = 2582496. Its totient is φ = 313248.

The previous prime is 1020079. The next prime is 1020101. The reversal of 1020084 is 4800201.

1020084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1777 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (71736).

21020084 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 1020084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291248).

1020084 is an abundant number, since it is smaller than the sum of its proper divisors (1562412).

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

1020084 is a wasteful number, since it uses less digits than its factorization.

1020084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020084 is about 1009.9920791769. The cubic root of 1020084 is about 100.6650341582.

Adding to 1020084 its reverse (4800201), we get a palindrome (5820285).

The spelling of 1020084 in words is "one million, twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 503 507 676 1006 1014 1509 2012 2028 3018 6036 6539 13078 19617 26156 39234 78468 85007 170014 255021 340028 510042 1020084