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1066706004 = 22371317371553
BaseRepresentation
bin111111100101001…
…010010001010100
32202100012021112210
4333211022101110
54141034043004
6253503113420
735301565020
oct7745122124
92670167483
101066706004
114a8145011
122592a2870
1313ccc45b0
14a1953380
15639ab089
hex3f94a454

1066706004 has 192 divisors, whose sum is σ = 3333367296. Its totient is φ = 257458176.

The previous prime is 1066705973. The next prime is 1066706009. The reversal of 1066706004 is 4006076601.

1066706004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10667060042 = 2275723397939296032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066706009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 686092 + ... + 687644.

It is an arithmetic number, because the mean of its divisors is an integer number (17361288).

Almost surely, 21066706004 is an apocalyptic number.

1066706004 is a gapful number since it is divisible by the number (14) 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 1066706004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666683648).

1066706004 is an abundant number, since it is smaller than the sum of its proper divisors (2266661292).

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

1066706004 is a wasteful number, since it uses less digits than its factorization.

1066706004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1066706004 is about 32660.4654590225. The cubic root of 1066706004 is about 1021.7584699410.

The spelling of 1066706004 in words is "one billion, sixty-six million, seven hundred six thousand, four".