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1069889040 = 2433511371217
BaseRepresentation
bin111111110001010…
…011011000010000
32202120011222212000
4333301103120100
54142342422130
6254055234000
735340623013
oct7761233020
92676158760
101069889040
114a9a19520
1225a378900
1314086a34c
14a214137a
1563dd9260
hex3fc53610

1069889040 has 320 divisors, whose sum is σ = 4132235520. Its totient is φ = 252149760.

The previous prime is 1069889027. The next prime is 1069889087. The reversal of 1069889040 is 409889601.

1069889040 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 2×10698890402 = 2289325115824243200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 878512 + ... + 879728.

It is an arithmetic number, because the mean of its divisors is an integer number (12913236).

Almost surely, 21069889040 is an apocalyptic number.

1069889040 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 1069889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066117760).

1069889040 is an abundant number, since it is smaller than the sum of its proper divisors (3062346480).

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

1069889040 is a wasteful number, since it uses less digits than its factorization.

1069889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1069889040 is about 32709.1583505293. The cubic root of 1069889040 is about 1022.7737651269.

The spelling of 1069889040 in words is "one billion, sixty-nine million, eight hundred eighty-nine thousand, forty".