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201531540 = 223574311159
BaseRepresentation
bin11000000001100…
…10000010010100
3112001012212022010
430000302002110
5403043002130
631555304220
74664663340
oct1400620224
9461185263
10201531540
11a38396a1
12575ab070
13329a2442
141caa0620
1512a5d0b0
hexc032094

201531540 has 96 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 44989056.

The previous prime is 201531529. The next prime is 201531541. The reversal of 201531540 is 45135102.

201531540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2015315402 = 81229923229543200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201531541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12481 + ... + 23639.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2201531540 is an apocalyptic number.

201531540 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 201531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

201531540 is an abundant number, since it is smaller than the sum of its proper divisors (458426220).

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

201531540 is a wasteful number, since it uses less digits than its factorization.

201531540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221 (or 11219 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 201531540 is about 14196.1804722256. The cubic root of 201531540 is about 586.2925034688.

Adding to 201531540 its reverse (45135102), we get a palindrome (246666642).

The spelling of 201531540 in words is "two hundred one million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 11159 18060 22318 33477 44636 55795 66954 78113 111590 133908 156226 167385 223180 234339 312452 334770 390565 468678 479837 669540 781130 937356 959674 1171695 1439511 1562260 1919348 2343390 2399185 2879022 3358859 4686780 4798370 5758044 6717718 7197555 9596740 10076577 13435436 14395110 16794295 20153154 28790220 33588590 40306308 50382885 67177180 100765770 201531540