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1212480 = 26325421
BaseRepresentation
bin100101000000001000000
32021121012200
410220001000
5302244410
641553200
713206633
oct4500100
92247180
101212480
11758a55
124a5800
13335b59
14237c1a
1518e3c0
hex128040

1212480 has 84 divisors (see below), whose sum is σ = 4180332. Its totient is φ = 322560.

The previous prime is 1212479. The next prime is 1212487. The reversal of 1212480 is 842121.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 1065024 = 384^2 + 1032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1212487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2670 + ... + 3090.

21212480 is an apocalyptic number.

1212480 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 1212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090166).

1212480 is an abundant number, since it is smaller than the sum of its proper divisors (2967852).

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

1212480 is a wasteful number, since it uses less digits than its factorization.

1212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1212480 is about 1101.1266957076. The cubic root of 1212480 is about 106.6329754707.

It can be divided in two parts, 121 and 2480, that added together give a square (2601 = 512).

The spelling of 1212480 in words is "one million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 421 480 576 720 842 960 1263 1440 1684 2105 2526 2880 3368 3789 4210 5052 6315 6736 7578 8420 10104 12630 13472 15156 16840 18945 20208 25260 26944 30312 33680 37890 40416 50520 60624 67360 75780 80832 101040 121248 134720 151560 202080 242496 303120 404160 606240 1212480