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1242004224 = 28317251379
BaseRepresentation
bin100101000000111…
…0111101100000000
310012120001100111110
41022001313230000
510020423113344
6323124243320
742530601366
oct11201675400
93176040443
101242004224
1158809617a
122a7b40540
1316a410356
14bad45636
15740863b9
hex4a077b00

1242004224 has 144 divisors (see below), whose sum is σ = 3523201920. Its totient is φ = 387072000.

The previous prime is 1242004223. The next prime is 1242004237. The reversal of 1242004224 is 4224002421.

It is a self number, because there is not a number n which added to its sum of digits gives 1242004224.

It is not an unprimeable number, because it can be changed into a prime (1242004223) 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, 3276867 + ... + 3277245.

It is an arithmetic number, because the mean of its divisors is an integer number (24466680).

Almost surely, 21242004224 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 1242004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761600960).

1242004224 is an abundant number, since it is smaller than the sum of its proper divisors (2281197696).

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

1242004224 is a wasteful number, since it uses less digits than its factorization.

1242004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1242004224 is about 35242.0803018210. The cubic root of 1242004224 is about 1074.9155798859.

Adding to 1242004224 its reverse (4224002421), we get a palindrome (5466006645).

The spelling of 1242004224 in words is "one billion, two hundred forty-two million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 251 256 272 379 384 408 502 544 753 758 768 816 1004 1088 1137 1506 1516 1632 2008 2176 2274 3012 3032 3264 4016 4267 4352 4548 6024 6064 6443 6528 8032 8534 9096 12048 12128 12801 12886 13056 16064 17068 18192 19329 24096 24256 25602 25772 32128 34136 36384 38658 48192 48512 51204 51544 64256 68272 72768 77316 95129 96384 97024 102408 103088 136544 145536 154632 190258 192768 204816 206176 273088 285387 291072 309264 380516 409632 412352 546176 570774 618528 761032 819264 824704 1092352 1141548 1237056 1522064 1617193 1638528 1649408 2283096 2474112 3044128 3234386 3277056 4566192 4851579 4948224 6088256 6468772 9132384 9703158 12176512 12937544 18264768 19406316 24353024 25875088 36529536 38812632 51750176 73059072 77625264 103500352 155250528 207000704 310501056 414001408 621002112 1242004224