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1348753560 = 2335711145969
BaseRepresentation
bin101000001100100…
…0101100010011000
310110222220210001120
41100121011202120
510230240103220
6341500245240
745265134060
oct12031054230
93428823046
101348753560
11632377570
12317840820
13186577c3b
14cb1b23a0
157d620a40
hex50645898

1348753560 has 128 divisors (see below), whose sum is σ = 5044723200. Its totient is φ = 280258560.

The previous prime is 1348753529. The next prime is 1348753561. The reversal of 1348753560 is 653578431.

It is a super-2 number, since 2×13487535602 = 3638272331225347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348753561) 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 31 ways as a sum of consecutive naturals, for example, 63745 + ... + 82224.

It is an arithmetic number, because the mean of its divisors is an integer number (39411900).

Almost surely, 21348753560 is an apocalyptic number.

1348753560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348753560 is an abundant number, since it is smaller than the sum of its proper divisors (3695969640).

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

1348753560 is a wasteful number, since it uses less digits than its factorization.

1348753560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146001 (or 145997 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 1348753560 is about 36725.3803247836. The cubic root of 1348753560 is about 1104.8692023202.

The spelling of 1348753560 in words is "one billion, three hundred forty-eight million, seven hundred fifty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 145969 291938 437907 583876 729845 875814 1021783 1167752 1459690 1605659 1751628 2043566 2189535 2919380 3065349 3211318 3503256 4087132 4379070 4816977 5108915 5838760 6130698 6422636 8028295 8174264 8758140 9633954 10217830 11239613 12261396 12845272 15326745 16056590 17516280 19267908 20435660 22479226 24084885 24522792 30653490 32113180 33718839 38535816 40871320 44958452 48169770 56198065 61306980 64226360 67437678 89916904 96339540 112396130 122613960 134875356 168594195 192679080 224792260 269750712 337188390 449584520 674376780 1348753560