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1660896 = 25327379
BaseRepresentation
bin110010101011111100000
310010101022200
412111133200
5411122041
655333200
720055156
oct6253740
93111280
101660896
11a34946
12681200
13461ca3
143133d6
1522c1b6
hex1957e0

1660896 has 72 divisors (see below), whose sum is σ = 4848480. Its totient is φ = 539136.

The previous prime is 1660889. The next prime is 1660921. The reversal of 1660896 is 6980661.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1660896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20985 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (67340).

21660896 is an apocalyptic number.

1660896 is a gapful number since it is divisible by the number (16) 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 1660896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424240).

1660896 is an abundant number, since it is smaller than the sum of its proper divisors (3187584).

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

1660896 is a wasteful number, since it uses less digits than its factorization.

1660896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1660896 is about 1288.7575412001. The cubic root of 1660896 is about 118.4261142788.

It can be divided in two parts, 1660 and 896, that added together give a triangular number (2556 = T71).

The spelling of 1660896 in words is "one million, six hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 79 96 144 146 158 219 237 288 292 316 438 474 584 632 657 711 876 948 1168 1264 1314 1422 1752 1896 2336 2528 2628 2844 3504 3792 5256 5688 5767 7008 7584 10512 11376 11534 17301 21024 22752 23068 34602 46136 51903 69204 92272 103806 138408 184544 207612 276816 415224 553632 830448 1660896