Search a number
-
+
104384540 = 22513289347
BaseRepresentation
bin1100011100011…
…00100000011100
321021102021200002
412032030200130
5203210301130
614205153432
72405153051
oct616144034
9237367602
10104384540
1153a16717
122ab5b878
131881a400
14dc13028
15926db45
hex638c81c

104384540 has 72 divisors (see below), whose sum is σ = 240725520. Its totient is φ = 37999104.

The previous prime is 104384503. The next prime is 104384551. The reversal of 104384540 is 45483401.

It is a super-2 number, since 2×1043845402 = 21792264382023200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 300647 + ... + 300993.

It is an arithmetic number, because the mean of its divisors is an integer number (3343410).

Almost surely, 2104384540 is an apocalyptic number.

104384540 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 104384540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120362760).

104384540 is an abundant number, since it is smaller than the sum of its proper divisors (136340980).

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

104384540 is a wasteful number, since it uses less digits than its factorization.

104384540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 104384540 is about 10216.8752561632. The cubic root of 104384540 is about 470.8458286466.

The spelling of 104384540 in words is "one hundred four million, three hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 169 178 260 338 347 356 445 676 694 845 890 1157 1388 1690 1735 1780 2314 3380 3470 4511 4628 5785 6940 9022 11570 15041 18044 22555 23140 30082 30883 45110 58643 60164 61766 75205 90220 117286 123532 150410 154415 234572 293215 300820 308830 401479 586430 617660 802958 1172860 1605916 2007395 4014790 5219227 8029580 10438454 20876908 26096135 52192270 104384540