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1660656160 = 25525141351
BaseRepresentation
bin110001011111011…
…1001101000100000
311021201211001222201
41202332321220200
511400111444120
6432441342544
756103226102
oct14276715040
94251731881
101660656160
11782440609
123a4197a54
132060825a7
1411a7a3572
159abd140a
hex62fb9a20

1660656160 has 48 divisors (see below), whose sum is σ = 3939026112. Its totient is φ = 661600000.

The previous prime is 1660656139. The next prime is 1660656209. The reversal of 1660656160 is 616560661.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19485 + ... + 60835.

It is an arithmetic number, because the mean of its divisors is an integer number (82063044).

Almost surely, 21660656160 is an apocalyptic number.

1660656160 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 1660656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969513056).

1660656160 is an abundant number, since it is smaller than the sum of its proper divisors (2278369952).

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

1660656160 is a wasteful number, since it uses less digits than its factorization.

1660656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41617 (or 41609 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 1660656160 is about 40751.1491862500. The cubic root of 1660656160 is about 1184.2041360345.

It can be divided in two parts, 166065 and 6160, that added together give a square (172225 = 4152).

The spelling of 1660656160 in words is "one billion, six hundred sixty million, six hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 2008 2510 4016 5020 8032 10040 20080 40160 41351 82702 165404 206755 330808 413510 661616 827020 1323232 1654040 3308080 6616160 10379101 20758202 41516404 51895505 83032808 103791010 166065616 207582020 332131232 415164040 830328080 1660656160