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1383531768 = 2332291096079
BaseRepresentation
bin101001001110111…
…0000010011111000
310120102100200210100
41102131300103320
510313141004033
6345141515400
746166553213
oct12235602370
93512320710
101383531768
1164aa70993
12327412b60
13190833a68
14d1a6677a
15816e0513
hex527704f8

1383531768 has 96 divisors (see below), whose sum is σ = 3912480000. Its totient is φ = 441116928.

The previous prime is 1383531761. The next prime is 1383531781. The reversal of 1383531768 is 8671353831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383531761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224553 + ... + 230631.

It is an arithmetic number, because the mean of its divisors is an integer number (40755000).

Almost surely, 21383531768 is an apocalyptic number.

1383531768 is a gapful number since it is divisible by the number (18) 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 1383531768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956240000).

1383531768 is an abundant number, since it is smaller than the sum of its proper divisors (2528948232).

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

1383531768 is a wasteful number, since it uses less digits than its factorization.

1383531768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6222 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1383531768 is about 37195.8568660543. The cubic root of 1383531768 is about 1114.2852418707.

The spelling of 1383531768 in words is "one billion, three hundred eighty-three million, five hundred thirty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 109 116 174 218 232 261 327 348 436 522 654 696 872 981 1044 1308 1962 2088 2616 3161 3924 6079 6322 7848 9483 12158 12644 18237 18966 24316 25288 28449 36474 37932 48632 54711 56898 72948 75864 109422 113796 145896 176291 218844 227592 352582 437688 528873 662611 705164 1057746 1325222 1410328 1586619 1987833 2115492 2650444 3173238 3975666 4230984 5300888 5963499 6346476 7951332 11926998 12692952 15902664 19215719 23853996 38431438 47707992 57647157 76862876 115294314 153725752 172941471 230588628 345882942 461177256 691765884 1383531768