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1242041220 = 2232572532657
BaseRepresentation
bin100101000001000…
…0000101110000100
310012120010020020200
41022002000232010
510020430304340
6323125130500
742531114300
oct11202005604
93176106220
101242041220
11588110a52
122a7b59a30
1316a424144
14bad54d00
1574092330
hex4a080b84

1242041220 has 216 divisors, whose sum is σ = 4467002904. Its totient is φ = 278433792.

The previous prime is 1242041219. The next prime is 1242041231. The reversal of 1242041220 is 221402421.

It can be written as a sum of positive squares in 4 ways, for example, as 299428416 + 942612804 = 17304^2 + 30702^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1242041193 and 1242041202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466132 + ... + 468788.

It is an arithmetic number, because the mean of its divisors is an integer number (20680569).

Almost surely, 21242041220 is an apocalyptic number.

1242041220 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 1242041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233501452).

1242041220 is an abundant number, since it is smaller than the sum of its proper divisors (3224961684).

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

1242041220 is a wasteful number, since it uses less digits than its factorization.

1242041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1242041220 is about 35242.6051817966. The cubic root of 1242041220 is about 1074.9262527379.

Adding to 1242041220 its reverse (221402421), we get a palindrome (1463443641).

The spelling of 1242041220 in words is "one billion, two hundred forty-two million, forty-one thousand, two hundred twenty".