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2005532540 = 2251163114447
BaseRepresentation
bin111011110001001…
…1111111101111100
312011202202121102222
41313202133331330
513101404020130
6531001304512
7100461513434
oct16742377574
95152677388
102005532540
1193a086310
1247b795138
1325c66365b
141504d92c4
15bb106ce5
hex7789ff7c

2005532540 has 48 divisors (see below), whose sum is σ = 4602092544. Its totient is φ = 728078400.

The previous prime is 2005532539. The next prime is 2005532549. The reversal of 2005532540 is 452355002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005532549) 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, 131597 + ... + 146043.

It is an arithmetic number, because the mean of its divisors is an integer number (95876928).

Almost surely, 22005532540 is an apocalyptic number.

2005532540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005532540 is an abundant number, since it is smaller than the sum of its proper divisors (2596560004).

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

2005532540 is a wasteful number, since it uses less digits than its factorization.

2005532540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15098 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 2005532540 is about 44783.1725093254. The cubic root of 2005532540 is about 1261.0817408912.

Adding to 2005532540 its reverse (452355002), we get a palindrome (2457887542).

The spelling of 2005532540 in words is "two billion, five million, five hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 631 1262 2524 3155 6310 6941 12620 13882 14447 27764 28894 34705 57788 69410 72235 138820 144470 158917 288940 317834 635668 794585 1589170 3178340 9116057 18232114 36464228 45580285 91160570 100276627 182321140 200553254 401106508 501383135 1002766270 2005532540