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2001166520 = 235237383359
BaseRepresentation
bin111011101000111…
…0110000010111000
312011110112210101112
41313101312002320
513044244312040
6530323535452
7100406430503
oct16721660270
95143483345
102001166520
11937674031
1247a22a588
1325b795302
1414dac013a
15baa43365
hex774760b8

2001166520 has 128 divisors (see below), whose sum is σ = 4833561600. Its totient is φ = 743998464.

The previous prime is 2001166501. The next prime is 2001166523. The reversal of 2001166520 is 256611002.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001166523) 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, 5574101 + ... + 5574459.

It is an arithmetic number, because the mean of its divisors is an integer number (37762200).

Almost surely, 22001166520 is an apocalyptic number.

2001166520 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 2001166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416780800).

2001166520 is an abundant number, since it is smaller than the sum of its proper divisors (2832395080).

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

2001166520 is a wasteful number, since it uses less digits than its factorization.

2001166520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2001166520 is about 44734.3997389034. The cubic root of 2001166520 is about 1260.1659561369.

Adding to 2001166520 its reverse (256611002), we get a palindrome (2257777522).

The spelling of 2001166520 in words is "two billion, one million, one hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 83 92 115 146 166 184 230 292 332 359 365 415 460 584 664 718 730 830 920 1436 1460 1660 1679 1795 1909 2872 2920 3320 3358 3590 3818 6059 6716 7180 7636 8257 8395 9545 12118 13432 14360 15272 16514 16790 19090 24236 26207 29797 30295 33028 33580 38180 41285 48472 52414 59594 60590 66056 67160 76360 82570 104828 119188 121180 131035 139357 148985 165140 209656 238376 242360 262070 278714 297970 330280 524140 557428 595940 602761 685331 696785 1048280 1114856 1191880 1205522 1370662 1393570 2175181 2411044 2741324 2787140 3013805 3426655 4350362 4822088 5482648 5574280 6027610 6853310 8700724 10875905 12055220 13706620 17401448 21751810 24110440 27413240 43503620 50029163 87007240 100058326 200116652 250145815 400233304 500291630 1000583260 2001166520