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201541340 = 2257111310067
BaseRepresentation
bin11000000001101…
…00011011011100
3112001020100202002
430000310123130
5403043310330
631555421432
74665034040
oct1400643334
9461210662
10201541340
11a3845aa0
12575b4878
13329a6a40
141caa4020
1512a60e45
hexc0346dc

201541340 has 96 divisors (see below), whose sum is σ = 568318464. Its totient is φ = 57980160.

The previous prime is 201541321. The next prime is 201541357. The reversal of 201541340 is 43145102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14987 + ... + 25053.

It is an arithmetic number, because the mean of its divisors is an integer number (5919984).

Almost surely, 2201541340 is an apocalyptic number.

201541340 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 201541340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284159232).

201541340 is an abundant number, since it is smaller than the sum of its proper divisors (366777124).

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

201541340 is a wasteful number, since it uses less digits than its factorization.

201541340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 201541340 is about 14196.5256312944. The cubic root of 201541340 is about 586.3020066520.

Adding to 201541340 its reverse (43145102), we get a palindrome (244686442).

The spelling of 201541340 in words is "two hundred one million, five hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 10067 20020 20134 40268 50335 70469 100670 110737 130871 140938 201340 221474 261742 281876 352345 442948 523484 553685 654355 704690 775159 916097 1107370 1308710 1409380 1439581 1550318 1832194 2214740 2617420 2879162 3100636 3664388 3875795 4580485 5758324 7197905 7751590 9160970 10077067 14395810 15503180 18321940 20154134 28791620 40308268 50385335 100770670 201541340