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2001215040 = 263511189509
BaseRepresentation
bin111011101001000…
…0001111001000000
312011110122020221120
41313102001321000
513044302340130
6530324552240
7100410022116
oct16722017100
95143566846
102001215040
119376a7530
1247a252680
1325b7b1416
1414dad3ab6
15baa52910
hex77481e40

2001215040 has 112 divisors (see below), whose sum is σ = 6931517760. Its totient is φ = 485140480.

The previous prime is 2001214991. The next prime is 2001215057. The reversal of 2001215040 is 405121002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84195 + ... + 105314.

Almost surely, 22001215040 is an apocalyptic number.

2001215040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001215040 is an abundant number, since it is smaller than the sum of its proper divisors (4930302720).

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

2001215040 is a wasteful number, since it uses less digits than its factorization.

2001215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189540 (or 189530 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2001215040 is about 44734.9420475762. The cubic root of 2001215040 is about 1260.1761406563.

Adding to 2001215040 its reverse (405121002), we get a palindrome (2406336042).

The spelling of 2001215040 in words is "two billion, one million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 189509 379018 568527 758036 947545 1137054 1516072 1895090 2084599 2274108 2842635 3032144 3790180 4169198 4548216 5685270 6064288 6253797 7580360 8338396 9096432 10422995 11370540 12128576 12507594 15160720 16676792 18192864 20845990 22741080 25015188 30321440 31268985 33353584 36385728 41691980 45482160 50030376 60642880 62537970 66707168 83383960 90964320 100060752 125075940 133414336 166767920 181928640 200121504 250151880 333535840 400243008 500303760 667071680 1000607520 2001215040