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1421072616 = 2332937139397
BaseRepresentation
bin101010010110011…
…1101100011101000
310200000222222011010
41110230331203220
510402243310431
6353002303520
750133626565
oct12454754350
93600888133
101421072616
1166a181987
12337ab7ba0
13198549192
14d6a3986c
1584b58846
hex54b3d8e8

1421072616 has 128 divisors (see below), whose sum is σ = 3811248000. Its totient is φ = 440681472.

The previous prime is 1421072603. The next prime is 1421072617. The reversal of 1421072616 is 6162701241.

1421072616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1421072617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579330 + ... + 3579726.

It is an arithmetic number, because the mean of its divisors is an integer number (29775375).

Almost surely, 21421072616 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 1421072616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905624000).

1421072616 is an abundant number, since it is smaller than the sum of its proper divisors (2390175384).

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

1421072616 is a wasteful number, since it uses less digits than its factorization.

1421072616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1421072616 is about 37697.1168128280. The cubic root of 1421072616 is about 1124.2738005660.

Adding to 1421072616 its reverse (6162701241), we get a palindrome (7583773857).

The spelling of 1421072616 in words is "one billion, four hundred twenty-one million, seventy-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 139 148 174 222 232 278 296 348 397 417 444 556 696 794 834 888 1073 1112 1191 1588 1668 2146 2382 3176 3219 3336 4031 4292 4764 5143 6438 8062 8584 9528 10286 11513 12093 12876 14689 15429 16124 20572 23026 24186 25752 29378 30858 32248 34539 41144 44067 46052 48372 55183 58756 61716 69078 88134 92104 96744 110366 117512 123432 138156 149147 165549 176268 220732 276312 298294 331098 352536 425981 441464 447441 596588 662196 851962 894882 1193176 1277943 1324392 1600307 1703924 1789764 2041771 2555886 3200614 3407848 3579528 4083542 4800921 5111772 6125313 6401228 8167084 9601842 10223544 12250626 12802456 16334168 19203684 24501252 38407368 49002504 59211359 118422718 177634077 236845436 355268154 473690872 710536308 1421072616