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1042997760 = 29325729223
BaseRepresentation
bin111110001010101…
…110001000000000
32200200120202221200
4332022232020000
54114001412020
6251255021200
734563222540
oct7612561000
92620522850
101042997760
11495821722
1225136a800
1313811334c
149c741320
1561876590
hex3e2ae200

1042997760 has 480 divisors, whose sum is σ = 4289725440. Its totient is φ = 229146624.

The previous prime is 1042997741. The next prime is 1042997771. The reversal of 1042997760 is 677992401.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4677009 + ... + 4677231.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 21042997760 is an apocalyptic number.

1042997760 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 1042997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1042997760 is an abundant number, since it is smaller than the sum of its proper divisors (3246727680).

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

1042997760 is a wasteful number, since it uses less digits than its factorization.

1042997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1042997760 is about 32295.4758441488. The cubic root of 1042997760 is about 1014.1319343285.

The spelling of 1042997760 in words is "one billion, forty-two million, nine hundred ninety-seven thousand, seven hundred sixty".