Search a number
-
+
1020096 = 263271123
BaseRepresentation
bin11111001000011000000
31220211022100
43321003000
5230120341
633510400
711446020
oct3710300
91824270
101020096
11637460
12412400
1329940c
141c7a80
151523b6
hexf90c0

1020096 has 168 divisors, whose sum is σ = 3803904. Its totient is φ = 253440.

The previous prime is 1020079. The next prime is 1020101. The reversal of 1020096 is 6900201.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44341 + ... + 44363.

21020096 is an apocalyptic number.

1020096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901952).

1020096 is an abundant number, since it is smaller than the sum of its proper divisors (2783808).

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

1020096 is a wasteful number, since it uses less digits than its factorization.

1020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1020096 is about 1009.9980198000. The cubic root of 1020096 is about 100.6654288890.

Adding to 1020096 its reverse (6900201), we get a palindrome (7920297).

It can be divided in two parts, 10200 and 96, that added together give a triangular number (10296 = T143).

The spelling of 1020096 in words is "one million, twenty thousand, ninety-six".