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1326867420 = 223541541997
BaseRepresentation
bin100111100010110…
…0110001111011100
310102110201211220210
41033011212033130
510204134224140
6335355212420
744611121064
oct11705461734
93373654823
101326867420
11620a8914a
12310447110
13181b84168
14c83163a4
157b74ad80
hex4f1663dc

1326867420 has 96 divisors (see below), whose sum is σ = 3816703296. Its totient is φ = 344217600.

The previous prime is 1326867419. The next prime is 1326867439. The reversal of 1326867420 is 247686231.

It is a happy number.

It is a congruent number.

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, 1330362 + ... + 1331358.

It is an arithmetic number, because the mean of its divisors is an integer number (39757326).

Almost surely, 21326867420 is an apocalyptic number.

1326867420 is a gapful number since it is divisible by the number (10) 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 1326867420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908351648).

1326867420 is an abundant number, since it is smaller than the sum of its proper divisors (2489835876).

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

1326867420 is a wasteful number, since it uses less digits than its factorization.

1326867420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1326867420 is about 36426.1914012431. The cubic root of 1326867420 is about 1098.8603679250.

The spelling of 1326867420 in words is "one billion, three hundred twenty-six million, eight hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 541 615 820 997 1082 1230 1623 1994 2164 2460 2705 2991 3246 3988 4985 5410 5982 6492 8115 9970 10820 11964 14955 16230 19940 22181 29910 32460 40877 44362 59820 66543 81754 88724 110905 122631 133086 163508 204385 221810 245262 266172 332715 408770 443620 490524 539377 613155 665430 817540 1078754 1226310 1330860 1618131 2157508 2452620 2696885 3236262 5393770 6472524 8090655 10787540 16181310 22114457 32362620 44228914 66343371 88457828 110572285 132686742 221144570 265373484 331716855 442289140 663433710 1326867420