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1381517379 = 3211219232903
BaseRepresentation
bin101001001011000…
…0100100001000011
310120021120100120100
41102112010201003
510312132024004
6345030413443
746143463314
oct12226044103
93507510510
101381517379
11649915500
12326801283
131902a9c08
14d16a060b
1581443739
hex52584843

1381517379 has 72 divisors (see below), whose sum is σ = 2410087680. Its totient is φ = 758466720.

The previous prime is 1381517369. The next prime is 1381517381. The reversal of 1381517379 is 9737151831.

It is a de Polignac number, because none of the positive numbers 2k-1381517379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1381517329) 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 71 ways as a sum of consecutive naturals, for example, 474442 + ... + 477344.

It is an arithmetic number, because the mean of its divisors is an integer number (33473440).

Almost surely, 21381517379 is an apocalyptic number.

1381517379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1381517379 is a deficient number, since it is larger than the sum of its proper divisors (1028570301).

1381517379 is a wasteful number, since it uses less digits than its factorization.

1381517379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2959 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 1381517379 is about 37168.7688658099. The cubic root of 1381517379 is about 1113.7441883556.

It can be divided in two parts, 138151 and 7379, that added together give a triangular number (145530 = T539).

The spelling of 1381517379 in words is "one billion, three hundred eighty-one million, five hundred seventeen thousand, three hundred seventy-nine".

Divisors: 1 3 9 11 19 23 33 57 69 99 121 171 207 209 253 363 437 627 759 1089 1311 1881 2277 2299 2783 2903 3933 4807 6897 8349 8709 14421 20691 25047 26127 31933 43263 52877 55157 66769 95799 158631 165471 200307 287397 351263 475893 496413 600921 606727 734459 1053789 1268611 1820181 2203377 3161367 3805833 5460543 6610131 6673997 8079049 11417499 13954721 20021991 24237147 41864163 60065973 72711441 125592489 153501931 460505793 1381517379