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201442520 = 23517595021
BaseRepresentation
bin11000000000111…
…00010011011000
3112001001100012002
430000130103120
5403032130040
631553340132
74664142656
oct1400342330
9461040162
10201442520
11a3788824
1257567648
1332970a76
141ca79dd6
1512a41a15
hexc01c4d8

201442520 has 64 divisors (see below), whose sum is σ = 488138400. Its totient is φ = 74536960.

The previous prime is 201442463. The next prime is 201442523. The reversal of 201442520 is 25244102.

201442520 = T254 + T255 + ... + T1069.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201442492 and 201442501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201442523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37610 + ... + 42630.

Almost surely, 2201442520 is an apocalyptic number.

201442520 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 201442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244069200).

201442520 is an abundant number, since it is smaller than the sum of its proper divisors (286695880).

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

201442520 is a wasteful number, since it uses less digits than its factorization.

201442520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 201442520 is about 14193.0447755230. The cubic root of 201442520 is about 586.2061655434.

Adding to 201442520 its reverse (25244102), we get a palindrome (226686622).

The spelling of 201442520 in words is "two hundred one million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 2006 2360 4012 5015 5021 8024 10030 10042 20060 20084 25105 40120 40168 50210 85357 100420 170714 200840 296239 341428 426785 592478 682856 853570 1184956 1481195 1707140 2369912 2962390 3414280 5036063 5924780 10072126 11849560 20144252 25180315 40288504 50360630 100721260 201442520