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1313433420 = 2235133154319
BaseRepresentation
bin100111001001001…
…0110011101001100
310101112110022221020
41032102112131030
510142214332140
6334155234140
744355666645
oct11622263514
93345408836
101313433420
11614442a72
12307a48950
1317c15c550
14c661a6cc
157a4956d0
hex4e49674c

1313433420 has 96 divisors (see below), whose sum is σ = 4088340480. Its totient is φ = 312871680.

The previous prime is 1313433383. The next prime is 1313433421. The reversal of 1313433420 is 243343131.

It is not an unprimeable number, because it can be changed into a prime (1313433421) 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, 2980 + ... + 51339.

It is an arithmetic number, because the mean of its divisors is an integer number (42586880).

Almost surely, 21313433420 is an apocalyptic number.

1313433420 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 1313433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044170240).

1313433420 is an abundant number, since it is smaller than the sum of its proper divisors (2774907060).

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

1313433420 is a wasteful number, since it uses less digits than its factorization.

1313433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54375 (or 54373 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1313433420 is about 36241.3219957551. The cubic root of 1313433420 is about 1095.1392746264.

Adding to 1313433420 its reverse (243343131), we get a palindrome (1556776551).

The spelling of 1313433420 in words is "one billion, three hundred thirteen million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 54319 108638 162957 217276 271595 325914 543190 651828 706147 814785 1086380 1412294 1629570 1683889 2118441 2824588 3259140 3367778 3530735 4236882 5051667 6735556 7061470 8419445 8473764 10103334 10592205 14122940 16838890 20206668 21184410 21890557 25258335 33677780 42368820 43781114 50516670 65671671 87562228 101033340 109452785 131343342 218905570 262686684 328358355 437811140 656716710 1313433420