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1320132352 = 28711193347
BaseRepresentation
bin100111010101111…
…1001111100000000
310102000001200010211
41032223321330000
510200423213402
6334555003504
744466640240
oct11653717400
93360050124
101320132352
116181a8a80
1230a139594
13180666706
14c7481b20
157ad6a4d7
hex4eaf9f00

1320132352 has 144 divisors (see below), whose sum is σ = 3311868672. Its totient is φ = 510197760.

The previous prime is 1320132349. The next prime is 1320132353. The reversal of 1320132352 is 2532310231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320132353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3804243 + ... + 3804589.

It is an arithmetic number, because the mean of its divisors is an integer number (22999088).

Almost surely, 21320132352 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 1320132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655934336).

1320132352 is an abundant number, since it is smaller than the sum of its proper divisors (1991736320).

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

1320132352 is a wasteful number, since it uses less digits than its factorization.

1320132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1320132352 is about 36333.6256379679. The cubic root of 1320132352 is about 1096.9979721459.

Adding to 1320132352 its reverse (2532310231), we get a palindrome (3852442583).

It can be divided in two parts, 1320132 and 352, that multiplied together give a palindrome (464686464).

The spelling of 1320132352 in words is "one billion, three hundred twenty million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 193 224 256 308 347 352 386 448 616 694 704 772 896 1232 1351 1388 1408 1544 1792 2123 2429 2464 2702 2776 2816 3088 3817 4246 4858 4928 5404 5552 6176 7634 8492 9716 9856 10808 11104 12352 14861 15268 16984 19432 19712 21616 22208 24704 26719 29722 30536 33968 38864 43232 44416 49408 53438 59444 61072 66971 67936 77728 86464 88832 106876 118888 122144 133942 135872 155456 172928 213752 237776 244288 267884 271744 310912 345856 427504 468797 475552 488576 535768 543488 621824 736681 855008 937594 951104 977152 1071536 1473362 1710016 1875188 1902208 2143072 2946724 3420032 3750376 3804416 4286144 5156767 5893448 6840064 7500752 8572288 10313534 11786896 15001504 17144576 20627068 23573792 30003008 41254136 47147584 60006016 82508272 94295168 120012032 165016544 188590336 330033088 660066176 1320132352