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1218080 = 25523331
BaseRepresentation
bin100101001011000100000
32021212220002
410221120200
5302434310
642035132
713232153
oct4513040
92255802
101218080
11762186
124a8aa8
13338576
14239c9a
15190da5
hex129620

1218080 has 48 divisors (see below), whose sum is σ = 3011904. Its totient is φ = 464640.

The previous prime is 1218043. The next prime is 1218089. The reversal of 1218080 is 808121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1218089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3515 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (62748).

21218080 is an apocalyptic number.

1218080 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 1218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505952).

1218080 is an abundant number, since it is smaller than the sum of its proper divisors (1793824).

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

1218080 is a wasteful number, since it uses less digits than its factorization.

1218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1218080 is about 1103.6666163294. Note that the first 4 decimals coincide. The cubic root of 1218080 is about 106.7968895651.

The spelling of 1218080 in words is "one million, two hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 331 368 460 662 736 920 1324 1655 1840 2648 3310 3680 5296 6620 7613 10592 13240 15226 26480 30452 38065 52960 60904 76130 121808 152260 243616 304520 609040 1218080