Search a number
-
+
201439980 = 223357223331
BaseRepresentation
bin11000000000110…
…11101011101100
3112001001012201000
430000123223230
5403032034410
631553320300
74664132400
oct1400335354
9461035630
10201439980
11a3786925
1257566090
133296c871
141ca79100
1512a40dc0
hexc01baec

201439980 has 288 divisors, whose sum is σ = 763015680. Its totient is φ = 43908480.

The previous prime is 201439933. The next prime is 201440017. The reversal of 201439980 is 89934102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608415 + ... + 608745.

It is an arithmetic number, because the mean of its divisors is an integer number (2649360).

Almost surely, 2201439980 is an apocalyptic number.

201439980 is a gapful number since it is divisible by the number (20) 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 201439980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381507840).

201439980 is an abundant number, since it is smaller than the sum of its proper divisors (561575700).

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

201439980 is a wasteful number, since it uses less digits than its factorization.

201439980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

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

The square root of 201439980 is about 14192.9552947933. The cubic root of 201439980 is about 586.2037016976.

It can be divided in two parts, 20 and 1439980, that added together give a square (1440000 = 12002).

The spelling of 201439980 in words is "two hundred one million, four hundred thirty-nine thousand, nine hundred eighty".