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201540312 = 2335432411
BaseRepresentation
bin11000000001101…
…00001011011000
3112001020022100000
430000310023120
5403043242222
631555413000
74665031041
oct1400641330
9461208300
10201540312
11a3845246
12575b4160
13329a642c
141caa38c8
1512a609ac
hexc0342d8

201540312 has 96 divisors (see below), whose sum is σ = 579458880. Its totient is φ = 65590560.

The previous prime is 201540307. The next prime is 201540373. The reversal of 201540312 is 213045102.

It is a super-2 number, since 2×2015403122 = 81236994722114688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82387 + ... + 84797.

It is an arithmetic number, because the mean of its divisors is an integer number (6036030).

Almost surely, 2201540312 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 201540312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289729440).

201540312 is an abundant number, since it is smaller than the sum of its proper divisors (377918568).

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

201540312 is a wasteful number, since it uses less digits than its factorization.

201540312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201540312 is about 14196.4894252065. The cubic root of 201540312 is about 586.3010098019.

Adding to 201540312 its reverse (213045102), we get a palindrome (414585414).

The spelling of 201540312 in words is "two hundred one million, five hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 774 972 1032 1161 1548 1944 2322 2411 3096 3483 4644 4822 6966 7233 9288 9644 10449 13932 14466 19288 20898 21699 27864 28932 41796 43398 57864 65097 83592 86796 103673 130194 173592 195291 207346 260388 311019 390582 414692 520776 585873 622038 781164 829384 933057 1171746 1244076 1562328 1866114 2343492 2488152 2799171 3732228 4686984 5598342 7464456 8397513 11196684 16795026 22393368 25192539 33590052 50385078 67180104 100770156 201540312