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1064159680 = 26525113249
BaseRepresentation
bin111111011011011…
…100100111000000
32202011101220122111
4333123130213000
54134411102210
6253332345104
735241131233
oct7733344700
92664356574
101064159680
114a6765a11
12258475194
1313c6125ac
14a148d41a
156365688a
hex3f6dc9c0

1064159680 has 56 divisors (see below), whose sum is σ = 2544318000. Its totient is φ = 423936000.

The previous prime is 1064159671. The next prime is 1064159687. The reversal of 1064159680 is 869514601.

It is a super-2 number, since 2×10641596802 = 2264871649075404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064159687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73696 + ... + 86944.

It is an arithmetic number, because the mean of its divisors is an integer number (45434250).

Almost surely, 21064159680 is an apocalyptic number.

1064159680 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 1064159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272159000).

1064159680 is an abundant number, since it is smaller than the sum of its proper divisors (1480158320).

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

1064159680 is a wasteful number, since it uses less digits than its factorization.

1064159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13517 (or 13507 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 1064159680 is about 32621.4604210173. The cubic root of 1064159680 is about 1020.9448121192.

The spelling of 1064159680 in words is "one billion, sixty-four million, one hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 251 320 502 1004 1255 2008 2510 4016 5020 8032 10040 13249 16064 20080 26498 40160 52996 66245 80320 105992 132490 211984 264980 423968 529960 847936 1059920 2119840 3325499 4239680 6650998 13301996 16627495 26603992 33254990 53207984 66509980 106415968 133019960 212831936 266039920 532079840 1064159680