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1042420340 = 2251315725537
BaseRepresentation
bin111110001000100…
…001001001110100
32200122111102212202
4332020201021310
54113324422330
6251234404032
734555266233
oct7610411164
92618442782
101042420340
11495467915
12251130618
13137c70590
149c630b1a
15617b0445
hex3e221274

1042420340 has 48 divisors (see below), whose sum is σ = 2372582352. Its totient is φ = 382427136.

The previous prime is 1042420321. The next prime is 1042420343. The reversal of 1042420340 is 430242401.

It can be written as a sum of positive squares in 8 ways, for example, as 6739216 + 1035681124 = 2596^2 + 32182^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042420343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28052 + ... + 53588.

It is an arithmetic number, because the mean of its divisors is an integer number (49428799).

Almost surely, 21042420340 is an apocalyptic number.

1042420340 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 1042420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186291176).

1042420340 is an abundant number, since it is smaller than the sum of its proper divisors (1330162012).

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

1042420340 is a wasteful number, since it uses less digits than its factorization.

1042420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25716 (or 25714 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1042420340 is about 32286.5349642850. The cubic root of 1042420340 is about 1013.9447533075.

Adding to 1042420340 its reverse (430242401), we get a palindrome (1472662741).

The spelling of 1042420340 in words is "one billion, forty-two million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 20410 25537 40820 51074 102148 127685 255370 331981 510740 663962 1327924 1659905 3319810 4009309 6639620 8018618 16037236 20046545 40093090 52121017 80186180 104242034 208484068 260605085 521210170 1042420340