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1066927680 = 263357132359
BaseRepresentation
bin111111100110000…
…000011001000000
32202100121112122000
4333212000121000
54141113141210
6253511544000
735303510220
oct7746003100
92670545560
101066927680
114a8286615
1225938b000
13140071470
14a19b0080
1563a01ac0
hex3f980640

1066927680 has 896 divisors, whose sum is σ = 4915814400. Its totient is φ = 211673088.

The previous prime is 1066927669. The next prime is 1066927711. The reversal of 1066927680 is 867296601.

It is a super-2 number, since 2×10669276802 = 2276669348700364800, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 18083491 + ... + 18083549.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 21066927680 is an apocalyptic number.

1066927680 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 1066927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457907200).

1066927680 is an abundant number, since it is smaller than the sum of its proper divisors (3848886720).

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

1066927680 is a wasteful number, since it uses less digits than its factorization.

1066927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1066927680 is about 32663.8589269547. The cubic root of 1066927680 is about 1021.8292434692.

The spelling of 1066927680 in words is "one billion, sixty-six million, nine hundred twenty-seven thousand, six hundred eighty".