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1242001984 = 26113199863
BaseRepresentation
bin100101000000111…
…0111001001000000
310012120001020102111
41022001313021000
510020423030414
6323124225104
742530562016
oct11201671100
93176036374
101242001984
11588094523
122a7b3b194
1316a40c322
14bad448b6
15740858c4
hex4a077240

1242001984 has 56 divisors (see below), whose sum is σ = 2501798400. Its totient is φ = 611702784.

The previous prime is 1242001973. The next prime is 1242001987. The reversal of 1242001984 is 4891002421.

It is not an unprimeable number, because it can be changed into a prime (1242001987) 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 7 ways as a sum of consecutive naturals, for example, 1438737 + ... + 1439599.

Almost surely, 21242001984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250899200).

1242001984 is an abundant number, since it is smaller than the sum of its proper divisors (1259796416).

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

1242001984 is a wasteful number, since it uses less digits than its factorization.

1242001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1242001984 is about 35242.0485216169. The cubic root of 1242001984 is about 1074.9149336690.

The spelling of 1242001984 in words is "one billion, two hundred forty-two million, one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 113 199 226 398 452 796 863 904 1592 1726 1808 3184 3452 3616 6368 6904 7232 12736 13808 22487 27616 44974 55232 89948 97519 171737 179896 195038 343474 359792 390076 686948 719584 780152 1373896 1439168 1560304 2747792 3120608 5495584 6241216 10991168 19406281 38812562 77625124 155250248 310500496 621000992 1242001984