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201376 = 2572931
BaseRepresentation
bin110001001010100000
3101020020101
4301022200
522421001
64152144
71466050
oct611240
9336211
10201376
1112832a
1298654
1370876
1453560
153ea01
hex312a0

201376 has 48 divisors (see below), whose sum is σ = 483840. Its totient is φ = 80640.

The previous prime is 201359. The next prime is 201389. The reversal of 201376 is 673102.

201376 is nontrivially palindromic in base 3.

201376 is a nontrivial binomial coefficient, being equal to C(32, 5).

It is a nialpdrome in base 12.

It is an unprimeable number.

201376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6481 + ... + 6511.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2201376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

201376 is an abundant number, since it is smaller than the sum of its proper divisors (282464).

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

201376 is a wasteful number, since it uses less digits than its factorization.

201376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 201376 is about 448.7493732586. The cubic root of 201376 is about 58.6141633111.

Adding to 201376 its reverse (673102), we get a palindrome (874478).

The spelling of 201376 in words is "two hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 112 116 124 203 217 224 232 248 406 434 464 496 812 868 899 928 992 1624 1736 1798 3248 3472 3596 6293 6496 6944 7192 12586 14384 25172 28768 50344 100688 201376