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1230480 = 243251709
BaseRepresentation
bin100101100011010010000
32022111220100
410230122100
5303333410
642212400
713313256
oct4543220
92274810
101230480
11770529
124b4100
133410c4
142405d6
151948c0
hex12c690

1230480 has 60 divisors (see below), whose sum is σ = 4134780. Its totient is φ = 327936.

The previous prime is 1230479. The next prime is 1230491. The reversal of 1230480 is 840321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 898704 = 576^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 135 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

21230480 is an apocalyptic number.

1230480 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 1230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067390).

1230480 is an abundant number, since it is smaller than the sum of its proper divisors (2904300).

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

1230480 is a wasteful number, since it uses less digits than its factorization.

1230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1230480 is about 1109.2700302451. The cubic root of 1230480 is about 107.1580626039.

The spelling of 1230480 in words is "one million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1709 3418 5127 6836 8545 10254 13672 15381 17090 20508 25635 27344 30762 34180 41016 51270 61524 68360 76905 82032 102540 123048 136720 153810 205080 246096 307620 410160 615240 1230480