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201200840 = 2352925981
BaseRepresentation
bin10111111111000…
…01010011001000
3112000121001122222
423333201103020
5403001411330
631544233212
74662115241
oct1377412310
9460531588
10201200840
11a3633195
125746b808
13328b7a69
141ca15cc8
15129e50e5
hexbfe14c8

201200840 has 48 divisors (see below), whose sum is σ = 468928980. Its totient is φ = 77692160.

The previous prime is 201200837. The next prime is 201200873. The reversal of 201200840 is 48002102.

It can be written as a sum of positive squares in 6 ways, for example, as 34739236 + 166461604 = 5894^2 + 12902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30650 + ... + 36630.

Almost surely, 2201200840 is an apocalyptic number.

201200840 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 201200840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234464490).

201200840 is an abundant number, since it is smaller than the sum of its proper divisors (267728140).

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

201200840 is a wasteful number, since it uses less digits than its factorization.

201200840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 201200840 is about 14184.5281909551. The cubic root of 201200840 is about 585.9716387552.

Adding to 201200840 its reverse (48002102), we get a palindrome (249202942).

The spelling of 201200840 in words is "two hundred one million, two hundred thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 5981 6728 8410 11962 16820 23924 29905 33640 47848 59810 119620 173449 239240 346898 693796 867245 1387592 1734490 3468980 5030021 6937960 10060042 20120084 25150105 40240168 50300210 100600420 201200840