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2013450240 = 2123532771
BaseRepresentation
bin111100000000010…
…1101000000000000
312012022122212111010
41320000231000000
513110420401430
6531443120520
7100616021214
oct17000550000
95168585433
102013450240
119435a3a6a
12482373140
132611a6499
1415159a944
15bbb6ccb0
hex7802d000

2013450240 has 104 divisors (see below), whose sum is σ = 6442450848. Its totient is φ = 536903680.

The previous prime is 2013450221. The next prime is 2013450269. The reversal of 2013450240 is 420543102.

2013450240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45055 + ... + 77825.

Almost surely, 22013450240 is an apocalyptic number.

2013450240 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 2013450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221225424).

2013450240 is an abundant number, since it is smaller than the sum of its proper divisors (4429000608).

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

2013450240 is an equidigital number, since it uses as much as digits as its factorization.

2013450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32803 (or 32781 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2013450240 is about 44871.4858234046. The cubic root of 2013450240 is about 1262.7391154449.

Adding to 2013450240 its reverse (420543102), we get a palindrome (2433993342).

The spelling of 2013450240 in words is "two billion, thirteen million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 20480 30720 32771 61440 65542 98313 131084 163855 196626 262168 327710 393252 491565 524336 655420 786504 983130 1048672 1310840 1573008 1966260 2097344 2621680 3146016 3932520 4194688 5243360 6292032 7865040 8389376 10486720 12584064 15730080 16778752 20973440 25168128 31460160 33557504 41946880 50336256 62920320 67115008 83893760 100672512 125840640 134230016 167787520 201345024 251681280 335575040 402690048 503362560 671150080 1006725120 2013450240