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13574005340 = 22573113072393
BaseRepresentation
bin11001010010001001…
…01110001001011100
31022000222212220202112
430221010232021130
5210244421132330
610122534013152
7660243066410
oct145104561134
938028786675
1013574005340
115836199135
122769aa71b8
13138429872c
1492aaa6d40
15546a37795
hex32912e25c

13574005340 has 96 divisors (see below), whose sum is σ = 33668296704. Its totient is φ = 4498490880.

The previous prime is 13574005273. The next prime is 13574005391. The reversal of 13574005340 is 4350047531.

It is a junction number, because it is equal to n+sod(n) for n = 13574005297 and 13574005306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5671184 + ... + 5673576.

It is an arithmetic number, because the mean of its divisors is an integer number (350711424).

Almost surely, 213574005340 is an apocalyptic number.

13574005340 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 13574005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834148352).

13574005340 is an abundant number, since it is smaller than the sum of its proper divisors (20094291364).

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

13574005340 is a wasteful number, since it uses less digits than its factorization.

13574005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 13574005340 in words is "thirteen billion, five hundred seventy-four million, five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 1307 2170 2393 2614 4340 4786 5228 6535 9149 9572 11965 13070 16751 18298 23930 26140 33502 36596 40517 45745 47860 67004 74183 81034 83755 91490 148366 162068 167510 182980 202585 283619 296732 335020 370915 405170 519281 567238 741830 810340 1038562 1134476 1418095 1483660 2077124 2596405 2836190 3127651 5192810 5672380 6255302 10385620 12510604 15638255 21893557 31276510 43787114 62553020 87574228 96957181 109467785 193914362 218935570 387828724 437871140 484785905 678700267 969571810 1357400534 1939143620 2714801068 3393501335 6787002670 13574005340