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1343560020 = 223511892257
BaseRepresentation
bin101000000010101…
…0001100101010100
310110122010220212020
41100011101211110
510222422410040
6341153053140
745203033415
oct12005214524
93418126766
101343560020
1162a44a590
12315b571b0
1318547a03a
14ca61d80c
157ce46cd0
hex50151954

1343560020 has 144 divisors (see below), whose sum is σ = 4166745408. Its totient is φ = 320798720.

The previous prime is 1343559991. The next prime is 1343560027. The reversal of 1343560020 is 200653431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343560027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5227732 + ... + 5227988.

It is an arithmetic number, because the mean of its divisors is an integer number (28935732).

Almost surely, 21343560020 is an apocalyptic number.

1343560020 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 1343560020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083372704).

1343560020 is an abundant number, since it is smaller than the sum of its proper divisors (2823185388).

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

1343560020 is a wasteful number, since it uses less digits than its factorization.

1343560020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1343560020 is about 36654.6043492492. The cubic root of 1343560020 is about 1103.4492336533.

The spelling of 1343560020 in words is "one billion, three hundred forty-three million, five hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 257 267 330 356 445 514 534 660 771 890 979 1028 1068 1285 1335 1542 1780 1958 2570 2670 2827 2937 3084 3855 3916 4895 5140 5340 5654 5874 7710 7921 8481 9790 11308 11748 14135 14685 15420 15842 16962 19580 22873 23763 28270 29370 31684 33924 39605 42405 45746 47526 56540 58740 68619 79210 84810 87131 91492 95052 114365 118815 137238 158420 169620 174262 228730 237630 251603 261393 274476 343095 348524 435655 457460 475260 503206 522786 686190 754809 871310 1006412 1045572 1258015 1306965 1372380 1509618 1742620 2035697 2516030 2613930 3019236 3774045 4071394 5032060 5227860 6107091 7548090 8142788 10178485 12214182 15096180 20356970 22392667 24428364 30535455 40713940 44785334 61070910 67178001 89570668 111963335 122141820 134356002 223926670 268712004 335890005 447853340 671780010 1343560020