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1047242000 = 245371931127
BaseRepresentation
bin111110011010111…
…010010100010000
32200222120101221202
4332122322110100
54121043221000
6251530010332
734644260450
oct7632722420
92628511852
101047242000
11498160462
122528769a8
13138c6b12c
149d127d60
1561e13dd5
hex3e6ba510

1047242000 has 320 divisors, whose sum is σ = 3169320960. Its totient is φ = 326592000.

The previous prime is 1047241931. The next prime is 1047242023. The reversal of 1047242000 is 2427401.

1047242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8245937 + ... + 8246063.

It is an arithmetic number, because the mean of its divisors is an integer number (9904128).

Almost surely, 21047242000 is an apocalyptic number.

1047242000 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 1047242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584660480).

1047242000 is an abundant number, since it is smaller than the sum of its proper divisors (2122078960).

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

1047242000 is a wasteful number, since it uses less digits than its factorization.

1047242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 1047242000 is about 32361.1186456834. The cubic root of 1047242000 is about 1015.5056650321.

Adding to 1047242000 its reverse (2427401), we get a palindrome (1049669401).

The spelling of 1047242000 in words is "one billion, forty-seven million, two hundred forty-two thousand".