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1242480 = 243531167
BaseRepresentation
bin100101111010101110000
32100010100210
410233111300
5304224410
642344120
713363251
oct4572560
92303323
101242480
11779548
124bb040
133466c5
14244b28
15198220
hex12f570

1242480 has 80 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 318720.

The previous prime is 1242457. The next prime is 1242487. The reversal of 1242480 is 842421.

1242480 = 1852 + 1862 + ... + 2152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7357 + ... + 7523.

21242480 is an apocalyptic number.

1242480 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 1242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1242480 is an abundant number, since it is smaller than the sum of its proper divisors (2757264).

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

1242480 is a wasteful number, since it uses less digits than its factorization.

1242480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1242480 is about 1114.6658692182. The cubic root of 1242480 is about 107.5052818750.

The spelling of 1242480 in words is "one million, two hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 167 186 240 248 310 334 372 465 496 501 620 668 744 835 930 1002 1240 1336 1488 1670 1860 2004 2480 2505 2672 3340 3720 4008 5010 5177 6680 7440 8016 10020 10354 13360 15531 20040 20708 25885 31062 40080 41416 51770 62124 77655 82832 103540 124248 155310 207080 248496 310620 414160 621240 1242480