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1065220672 = 2641677383
BaseRepresentation
bin111111011111011…
…111101001000000
32202020101211001111
4333133133221000
54140144030142
6253411213104
735253140425
oct7737375100
92666354044
101065220672
114a732006a
122588a7194
1313c8c44b9
14a1687d4c
15637b5e17
hex3f7dfa40

1065220672 has 112 divisors (see below), whose sum is σ = 2254617792. Its totient is φ = 498769920.

The previous prime is 1065220649. The next prime is 1065220691. The reversal of 1065220672 is 2760225601.

It is a super-2 number, since 2×10652206722 = 2269390160112263168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12833943 + ... + 12834025.

It is an arithmetic number, because the mean of its divisors is an integer number (20130516).

Almost surely, 21065220672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127308896).

1065220672 is an abundant number, since it is smaller than the sum of its proper divisors (1189397120).

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

1065220672 is an equidigital number, since it uses as much as digits as its factorization.

1065220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1065220672 is about 32637.7185477171. The cubic root of 1065220672 is about 1021.2840013409.

The spelling of 1065220672 in words is "one billion, sixty-five million, two hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 67 73 82 83 134 146 164 166 268 292 328 332 536 584 656 664 1072 1168 1312 1328 2144 2336 2624 2656 2747 2993 3403 4288 4672 4891 5312 5494 5561 5986 6059 6806 9782 10988 11122 11972 12118 13612 19564 21976 22244 23944 24236 27224 39128 43952 44488 47888 48472 54448 78256 87904 88976 95776 96944 108896 156512 175808 177952 191552 193888 200531 217792 228001 248419 313024 355904 387776 401062 405953 456002 496838 802124 811906 912004 993676 1604248 1623812 1824008 1987352 3208496 3247624 3648016 3974704 6416992 6495248 7296032 7949408 12833984 12990496 14592064 15898816 16644073 25980992 33288146 66576292 133152584 266305168 532610336 1065220672