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103730016 = 2531383117
BaseRepresentation
bin1100010111011…
…00101101100000
321020012000211110
412023230231200
5203023330031
614143143320
72366455605
oct613545540
9236160743
10103730016
1153609995
122a8a4b40
131864b510
14dac26ac
15918ec46
hex62ecb60

103730016 has 48 divisors (see below), whose sum is σ = 293240304. Its totient is φ = 31916544.

The previous prime is 103730009. The next prime is 103730027. The reversal of 103730016 is 610037301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 103729974 and 103730001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40311 + ... + 42806.

It is an arithmetic number, because the mean of its divisors is an integer number (6109173).

Almost surely, 2103730016 is an apocalyptic number.

103730016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103730016 is an abundant number, since it is smaller than the sum of its proper divisors (189510288).

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

103730016 is a wasteful number, since it uses less digits than its factorization.

103730016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83143 (or 83135 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 103730016 is about 10184.7933705108. The cubic root of 103730016 is about 469.8596472421.

Adding to 103730016 its reverse (610037301), we get a palindrome (713767317).

The spelling of 103730016 in words is "one hundred three million, seven hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 83117 166234 249351 332468 498702 664936 997404 1080521 1329872 1994808 2161042 2659744 3241563 3989616 4322084 6483126 7979232 8644168 12966252 17288336 25932504 34576672 51865008 103730016