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201440120 = 23574715307
BaseRepresentation
bin11000000000110…
…11101101111000
3112001001012220012
430000123231320
5403032040440
631553321052
74664132660
oct1400335570
9461035805
10201440120
11a3786a42
1257566188
133296c94b
141ca791a0
1512a40e65
hexc01bb78

201440120 has 64 divisors (see below), whose sum is σ = 529044480. Its totient is φ = 67591296.

The previous prime is 201440111. The next prime is 201440131. The reversal of 201440120 is 21044102.

It is a super-2 number, since 2×2014401202 = 81156243891228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201440095 and 201440104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5507 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (8266320).

Almost surely, 2201440120 is an apocalyptic number.

201440120 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 201440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264522240).

201440120 is an abundant number, since it is smaller than the sum of its proper divisors (327604360).

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

201440120 is a wasteful number, since it uses less digits than its factorization.

201440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372 (or 15368 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 201440120 is about 14192.9602268167. The cubic root of 201440120 is about 586.2038375006.

Adding to 201440120 its reverse (21044102), we get a palindrome (222484222).

The spelling of 201440120 in words is "two hundred one million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 15307 30614 61228 76535 107149 122456 153070 214298 306140 428596 535745 612280 719429 857192 1071490 1438858 2142980 2877716 3597145 4285960 5036003 5755432 7194290 10072006 14388580 20144012 25180015 28777160 40288024 50360030 100720060 201440120