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141696 = 273341
BaseRepresentation
bin100010100110000000
321012101000
4202212000
514013241
63012000
71130052
oct424600
9235330
10141696
1197505
126a000
134c659
14398d2
152beb6
hex22980

141696 has 64 divisors (see below), whose sum is σ = 428400. Its totient is φ = 46080.

The previous prime is 141689. The next prime is 141697. The reversal of 141696 is 696141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

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 141696.

It is not an unprimeable number, because it can be changed into a prime (141697) by changing a digit.

141696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3436 + ... + 3476.

2141696 is an apocalyptic number.

141696 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 141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214200).

141696 is an abundant number, since it is smaller than the sum of its proper divisors (286704).

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

141696 is an equidigital number, since it uses as much as digits as its factorization.

141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 141696 is about 376.4252913926. The cubic root of 141696 is about 52.1337778292.

The spelling of 141696 in words is "one hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 7872 8856 11808 15744 17712 23616 35424 47232 70848 141696