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1660960 = 25571483
BaseRepresentation
bin110010101100000100000
310010101102001
412111200200
5411122320
655333344
720055310
oct6254040
93111361
101660960
11a349a4
12681254
13462022
14313440
1522c20a
hex195820

1660960 has 48 divisors (see below), whose sum is σ = 4487616. Its totient is φ = 569088.

The previous prime is 1660957. The next prime is 1660963. The reversal of 1660960 is 690661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1660957) and next prime (1660963).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1660963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 1861.

It is an arithmetic number, because the mean of its divisors is an integer number (93492).

21660960 is an apocalyptic number.

1660960 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 1660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243808).

1660960 is an abundant number, since it is smaller than the sum of its proper divisors (2826656).

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

1660960 is a wasteful number, since it uses less digits than its factorization.

1660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 1660960 is about 1288.7823710774. The cubic root of 1660960 is about 118.4276353802.

Subtracting from 1660960 its reverse (690661), we obtain a cube (970299 = 993).

The spelling of 1660960 in words is "one million, six hundred sixty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1483 2966 5932 7415 10381 11864 14830 20762 23728 29660 41524 47456 51905 59320 83048 103810 118640 166096 207620 237280 332192 415240 830480 1660960