Search a number
-
+
103290036584 = 2373173815053
BaseRepresentation
bin110000000110010010…
…0001110000101101000
3100212121110102111222112
41200030210032011220
53143014222132314
6115241211541452
710314423552620
oct1401444160550
9325543374875
10103290036584
113a8945952a9
121802775a888
139981313a57
144ddbda5880
152a47ec043e
hex180c90e168

103290036584 has 64 divisors (see below), whose sum is σ = 231605744640. Its totient is φ = 42252295680.

The previous prime is 103290036557. The next prime is 103290036587. The reversal of 103290036584 is 485630092301.

It is not an unprimeable number, because it can be changed into a prime (103290036587) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 280799 + ... + 534254.

It is an arithmetic number, because the mean of its divisors is an integer number (3618839760).

Almost surely, 2103290036584 is an apocalyptic number.

103290036584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103290036584 is an abundant number, since it is smaller than the sum of its proper divisors (128315708056).

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

103290036584 is a wasteful number, since it uses less digits than its factorization.

103290036584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815170 (or 815166 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 103290036584 in words is "one hundred three billion, two hundred ninety million, thirty-six thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 73 124 146 217 248 292 434 511 584 868 1022 1736 2044 2263 4088 4526 9052 15841 18104 31682 63364 126728 815053 1630106 3260212 5705371 6520424 11410742 22821484 25266643 45642968 50533286 59498869 101066572 118997738 176866501 202133144 237995476 353733002 416492083 475990952 707466004 832984166 1414932008 1665968332 1844464939 3331936664 3688929878 7377859756 12911254573 14755719512 25822509146 51645018292 103290036584