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2036240240 = 24537719689
BaseRepresentation
bin111100101011110…
…1000111101110000
312020220112201111012
41321113220331300
513132234141430
6534015410052
7101313520316
oct17127507560
95226481435
102036240240
1195544a481
12489b23928
13265b257a8
141546100b6
15bdb70695
hex795e8f70

2036240240 has 80 divisors (see below), whose sum is σ = 4931202240. Its totient is φ = 781240320.

The previous prime is 2036240137. The next prime is 2036240243. The reversal of 2036240240 is 420426302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036240243) 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, 205316 + ... + 215004.

It is an arithmetic number, because the mean of its divisors is an integer number (61640028).

Almost surely, 22036240240 is an apocalyptic number.

2036240240 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 2036240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465601120).

2036240240 is an abundant number, since it is smaller than the sum of its proper divisors (2894962000).

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

2036240240 is a wasteful number, since it uses less digits than its factorization.

2036240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9810 (or 9804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2036240240 is about 45124.7187248851. The cubic root of 2036240240 is about 1267.4855160850.

Adding to 2036240240 its reverse (420426302), we get a palindrome (2456666542).

The spelling of 2036240240 in words is "two billion, thirty-six million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 71 74 80 142 148 185 284 296 355 370 568 592 710 740 1136 1420 1480 2627 2840 2960 5254 5680 9689 10508 13135 19378 21016 26270 38756 42032 48445 52540 77512 96890 105080 155024 193780 210160 358493 387560 687919 716986 775120 1375838 1433972 1792465 2751676 2867944 3439595 3584930 5503352 5735888 6879190 7169860 11006704 13758380 14339720 25453003 27516760 28679440 50906006 55033520 101812012 127265015 203624024 254530030 407248048 509060060 1018120120 2036240240