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1042005240 = 233254383811
BaseRepresentation
bin111110000110111…
…011110011111000
32200121201100110200
4332012323303320
54113223131430
6251221442200
734551620103
oct7606736370
92617640420
101042005240
11495203a61
12250b70360
13137b56663
149c56373a
156172c460
hex3e1bbcf8

1042005240 has 192 divisors, whose sum is σ = 3511347840. Its totient is φ = 267805440.

The previous prime is 1042005221. The next prime is 1042005241. The reversal of 1042005240 is 425002401.

1042005240 is a `hidden beast` number, since 1 + 0 + 420 + 0 + 5 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042005241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284435 + ... + 1285245.

It is an arithmetic number, because the mean of its divisors is an integer number (18288270).

Almost surely, 21042005240 is an apocalyptic number.

1042005240 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 1042005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755673920).

1042005240 is an abundant number, since it is smaller than the sum of its proper divisors (2469342600).

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

1042005240 is a wasteful number, since it uses less digits than its factorization.

1042005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1042005240 is about 32280.1059477815. The cubic root of 1042005240 is about 1013.8101485068.

Adding to 1042005240 its reverse (425002401), we get a palindrome (1467007641).

The spelling of 1042005240 in words is "one billion, forty-two million, five thousand, two hundred forty".