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1069985376 = 253715289
BaseRepresentation
bin111111110001101…
…010111001100000
32202120100220000000
4333301222321200
54142404013001
6254101300000
735341503615
oct7761527140
92676326000
101069985376
114a9a84939
1225a404600
131408a2155
14a216850c
1563e07a86
hex3fc6ae60

1069985376 has 96 divisors (see below), whose sum is σ = 3159525600. Its totient is φ = 356638464.

The previous prime is 1069985353. The next prime is 1069985381. The reversal of 1069985376 is 6735899601.

1069985376 is a `hidden beast` number, since 10 + 6 + 9 + 98 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10699853762 = 2289737409707722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62340 + ... + 77628.

It is an arithmetic number, because the mean of its divisors is an integer number (32911725).

Almost surely, 21069985376 is an apocalyptic number.

1069985376 is a gapful number since it is divisible by the number (16) 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 1069985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579762800).

1069985376 is an abundant number, since it is smaller than the sum of its proper divisors (2089540224).

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

1069985376 is an frugal number, since it uses more digits than its factorization.

1069985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 1069985376 is about 32710.6309324660. The cubic root of 1069985376 is about 1022.8044620722.

The spelling of 1069985376 in words is "one billion, sixty-nine million, nine hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 15289 17496 23328 30578 34992 45867 61156 69984 91734 122312 137601 183468 244624 275202 366936 412803 489248 550404 733872 825606 1100808 1238409 1467744 1651212 2201616 2476818 3302424 3715227 4403232 4953636 6604848 7430454 9907272 11145681 13209696 14860908 19814544 22291362 29721816 33437043 39629088 44582724 59443632 66874086 89165448 118887264 133748172 178330896 267496344 356661792 534992688 1069985376