Search a number
-
+
1216040 = 235743101
BaseRepresentation
bin100101000111000101000
32021210002112
410220320220
5302403130
642021452
713223210
oct4507050
92253075
101216040
117606a1
124a7888
13337667
14239240
15190495
hex128e28

1216040 has 64 divisors (see below), whose sum is σ = 3231360. Its totient is φ = 403200.

The previous prime is 1216021. The next prime is 1216043. The reversal of 1216040 is 406121.

1216040 = T216 + T217 + ... + T258.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1216043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11990 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (50490).

21216040 is an apocalyptic number.

1216040 is a gapful number since it is divisible by the number (10) 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 1216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615680).

1216040 is an abundant number, since it is smaller than the sum of its proper divisors (2015320).

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

1216040 is a wasteful number, since it uses less digits than its factorization.

1216040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1216040 is about 1102.7420369243. The cubic root of 1216040 is about 106.7372362876.

The spelling of 1216040 in words is "one million, two hundred sixteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 101 140 172 202 215 280 301 344 404 430 505 602 707 808 860 1010 1204 1414 1505 1720 2020 2408 2828 3010 3535 4040 4343 5656 6020 7070 8686 12040 14140 17372 21715 28280 30401 34744 43430 60802 86860 121604 152005 173720 243208 304010 608020 1216040