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1042830720 = 27335292081
BaseRepresentation
bin111110001010000…
…101010110000000
32200200021021211000
4332022011112000
54113431040340
6251251252000
734561625541
oct7612052600
92620237730
101042830720
11495718178
122512aa000
131380852c9
149c6da4c8
1561841d30
hex3e285580

1042830720 has 256 divisors, whose sum is σ = 3822552000. Its totient is φ = 268369920.

The previous prime is 1042830697. The next prime is 1042830727. The reversal of 1042830720 is 270382401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042830727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500080 + ... + 502160.

Almost surely, 21042830720 is an apocalyptic number.

1042830720 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 1042830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911276000).

1042830720 is an abundant number, since it is smaller than the sum of its proper divisors (2779721280).

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

1042830720 is a wasteful number, since it uses less digits than its factorization.

1042830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1042830720 is about 32292.8896198529. The cubic root of 1042830720 is about 1014.0777924282.

The spelling of 1042830720 in words is "one billion, forty-two million, eight hundred thirty thousand, seven hundred twenty".