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1355683080 = 233519757347
BaseRepresentation
bin101000011001110…
…0001010100001000
310111110221211120110
41100303201110020
510234023324310
6342304554320
745411054543
oct12063412410
93443854513
101355683080
1163627a844
1231a0229a0
13187b3304b
14cc09785a
157e03dd20
hex50ce1508

1355683080 has 64 divisors (see below), whose sum is σ = 4087765440. Its totient is φ = 359674112.

The previous prime is 1355683057. The next prime is 1355683099. The reversal of 1355683080 is 803865531.

It is a super-2 number, since 2×13556830802 = 3675753226796572800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5034 + ... + 52313.

It is an arithmetic number, because the mean of its divisors is an integer number (63871335).

Almost surely, 21355683080 is an apocalyptic number.

1355683080 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 1355683080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043882720).

1355683080 is an abundant number, since it is smaller than the sum of its proper divisors (2732082360).

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

1355683080 is a wasteful number, since it uses less digits than its factorization.

1355683080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57558 (or 57554 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1355683080 is about 36819.6018446696. The cubic root of 1355683080 is about 1106.7581410976.

The spelling of 1355683080 in words is "one billion, three hundred fifty-five million, six hundred eighty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 5910 7880 11820 23640 57347 114694 172041 229388 286735 344082 458776 573470 688164 860205 1146940 1376328 1720410 2293880 3440820 6881640 11297359 22594718 33892077 45189436 56486795 67784154 90378872 112973590 135568308 169460385 225947180 271136616 338920770 451894360 677841540 1355683080