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2421241000 = 235313917419
BaseRepresentation
bin1001000001010001…
…0011010010101000
320020201222210020121
42100110103102220
514424314203000
61040131333024
7114000131443
oct22024232250
96221883217
102421241000
111032800222
12576a51174
132c7814ba9
1418d7cc65a
15e286eb1a
hex905134a8

2421241000 has 64 divisors (see below), whose sum is σ = 5706792000. Its totient is φ = 961473600.

The previous prime is 2421240979. The next prime is 2421241007. The reversal of 2421241000 is 1421242.

It is not an unprimeable number, because it can be changed into a prime (2421241007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130291 + ... + 147709.

It is an arithmetic number, because the mean of its divisors is an integer number (89168625).

Almost surely, 22421241000 is an apocalyptic number.

2421241000 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 2421241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853396000).

2421241000 is an abundant number, since it is smaller than the sum of its proper divisors (3285551000).

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

2421241000 is a wasteful number, since it uses less digits than its factorization.

2421241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17579 (or 17565 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2421241000 is about 49206.1073445157. The cubic root of 2421241000 is about 1342.8041449044.

Adding to 2421241000 its reverse (1421242), we get a palindrome (2422662242).

The spelling of 2421241000 in words is "two billion, four hundred twenty-one million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 695 1000 1112 1390 2780 3475 5560 6950 13900 17375 17419 27800 34750 34838 69500 69676 87095 139000 139352 174190 348380 435475 696760 870950 1741900 2177375 2421241 3483800 4354750 4842482 8709500 9684964 12106205 17419000 19369928 24212410 48424820 60531025 96849640 121062050 242124100 302655125 484248200 605310250 1210620500 2421241000