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1316187420 = 2235234572087
BaseRepresentation
bin100111001110011…
…0110110100011100
310101201122020201020
41032130312310130
510143420444140
6334334244140
744421260052
oct11634666434
93351566636
101316187420
11615a540a9
12308956650
1317c8b4c32
14c6b361d2
157a83b6d0
hex4e736d1c

1316187420 has 96 divisors (see below), whose sum is σ = 3855817728. Its totient is φ = 334828032.

The previous prime is 1316187403. The next prime is 1316187427. The reversal of 1316187420 is 247816131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316187427) by changing a digit.

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, 629617 + ... + 631703.

It is an arithmetic number, because the mean of its divisors is an integer number (40164768).

Almost surely, 21316187420 is an apocalyptic number.

1316187420 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 1316187420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927908864).

1316187420 is an abundant number, since it is smaller than the sum of its proper divisors (2539630308).

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

1316187420 is a wasteful number, since it uses less digits than its factorization.

1316187420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1316187420 is about 36279.2974022375. The cubic root of 1316187420 is about 1095.9041676114.

The spelling of 1316187420 in words is "one billion, three hundred sixteen million, one hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 457 460 690 914 1371 1380 1828 2087 2285 2742 4174 4570 5484 6261 6855 8348 9140 10435 10511 12522 13710 20870 21022 25044 27420 31305 31533 41740 42044 48001 52555 62610 63066 96002 105110 125220 126132 144003 157665 192004 210220 240005 288006 315330 480010 576012 630660 720015 953759 960020 1440030 1907518 2861277 2880060 3815036 4768795 5722554 9537590 11445108 14306385 19075180 21936457 28612770 43872914 57225540 65809371 87745828 109682285 131618742 219364570 263237484 329046855 438729140 658093710 1316187420