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15960 = 2335719
BaseRepresentation
bin11111001011000
3210220010
43321120
51002320
6201520
764350
oct37130
923803
1015960
1110a9a
1292a0
137359
145b60
154ae0
hex3e58

15960 has 64 divisors (see below), whose sum is σ = 57600. Its totient is φ = 3456.

The previous prime is 15959. The next prime is 15971. The reversal of 15960 is 6951.

Subtracting from 15960 its reverse (6951), we obtain a palindrome (9009).

Multipling 15960 by its reverse (6951), we get a triangular number (110937960 = T14895).

It can be divided in two parts, 15 and 960, that multiplied together give a square (14400 = 1202).

15960 = T55 + T56 + ... + T63.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

215960 is an apocalyptic number.

15960 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 15960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800).

15960 is an abundant number, since it is smaller than the sum of its proper divisors (41640).

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

15960 is a wasteful number, since it uses less digits than its factorization.

15960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 15960 is about 126.3328935788. The cubic root of 15960 is about 25.1774047905.

The spelling of 15960 in words is "fifteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960