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103481742 = 23713261239
BaseRepresentation
bin1100010101100…
…00000110001110
321012201102021010
412022300012032
5202442403432
614133550050
72364403020
oct612600616
9235642233
10103481742
115345a401
122a7a5326
1318592500
14da5a010
1591413cc
hex62b018e

103481742 has 96 divisors (see below), whose sum is σ = 261411840. Its totient is φ = 26732160.

The previous prime is 103481713. The next prime is 103481767. The reversal of 103481742 is 247184301.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 432859 + ... + 433097.

It is an arithmetic number, because the mean of its divisors is an integer number (2723040).

Almost surely, 2103481742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103481742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130705920).

103481742 is an abundant number, since it is smaller than the sum of its proper divisors (157930098).

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

103481742 is a wasteful number, since it uses less digits than its factorization.

103481742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 103481742 is about 10172.5976033656. The cubic root of 103481742 is about 469.4844838082.

It can be divided in two parts, 10348 and 1742, that added together give a triangular number (12090 = T155).

The spelling of 103481742 in words is "one hundred three million, four hundred eighty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 169 182 183 239 273 338 366 427 478 507 546 717 793 854 1014 1183 1281 1434 1586 1673 2366 2379 2562 3107 3346 3549 4758 5019 5551 6214 7098 9321 10038 10309 11102 14579 16653 18642 20618 21749 29158 30927 33306 40391 43498 43737 61854 65247 72163 80782 87474 102053 121173 130494 144326 189527 204106 216489 242346 282737 306159 379054 432978 565474 568581 612318 848211 1137162 1326689 1696422 2463851 2653378 3980067 4927702 7391553 7960134 14783106 17246957 34493914 51740871 103481742