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8126321420 = 2257293316047
BaseRepresentation
bin1111001000101110…
…11101001100001100
3202222100002220022102
413210113131030030
5113120314241140
63422211134232
7405243410120
oct74427351414
922870086272
108126321420
1134a0107618
1216a95a4378
139c6771419
1457138b580
1532864de15
hex1e45dd30c

8126321420 has 96 divisors (see below), whose sum is σ = 20239994880. Its totient is φ = 2681521920.

The previous prime is 8126321387. The next prime is 8126321459. The reversal of 8126321420 is 241236218.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340837 + ... + 1346883.

It is an arithmetic number, because the mean of its divisors is an integer number (210833280).

Almost surely, 28126321420 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 8126321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10119997440).

8126321420 is an abundant number, since it is smaller than the sum of its proper divisors (12113673460).

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

8126321420 is a wasteful number, since it uses less digits than its factorization.

8126321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 8126321420 is about 90146.1115079292. Note that the first 3 decimals coincide. The cubic root of 8126321420 is about 2010.4718593853.

Adding to 8126321420 its reverse (241236218), we get a palindrome (8367557638).

The spelling of 8126321420 in words is "eight billion, one hundred twenty-six million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 331 406 580 662 812 1015 1324 1655 2030 2317 3310 4060 4634 6047 6620 9268 9599 11585 12094 19198 23170 24188 30235 38396 42329 46340 47995 60470 67193 84658 95990 120940 134386 169316 175363 191980 211645 268772 335965 350726 423290 671930 701452 846580 876815 1227541 1343860 1753630 2001557 2455082 3507260 4003114 4910164 6137705 8006228 10007785 12275410 14010899 20015570 24550820 28021798 40031140 56043596 58045153 70054495 116090306 140108990 232180612 280217980 290225765 406316071 580451530 812632142 1160903060 1625264284 2031580355 4063160710 8126321420