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103136940 = 223251953569
BaseRepresentation
bin1100010010110…
…11111010101100
321012001220021200
412021123322230
5202400340230
614122325500
72361435534
oct611337254
9235056250
10103136940
1153244345
122a659890
13184a159a
14d9aa4c4
1590c4160
hex625beac

103136940 has 144 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 25519104.

The previous prime is 103136939. The next prime is 103136947. The reversal of 103136940 is 49631301.

It is not an unprimeable number, because it can be changed into a prime (103136947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180976 + ... + 181544.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2103136940 is an apocalyptic number.

103136940 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 103136940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

103136940 is an abundant number, since it is smaller than the sum of its proper divisors (232980660).

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

103136940 is a wasteful number, since it uses less digits than its factorization.

103136940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 103136940 is about 10155.6358737403. The cubic root of 103136940 is about 468.9624615536.

The spelling of 103136940 in words is "one hundred three million, one hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 569 570 636 684 795 855 954 1007 1060 1138 1140 1590 1707 1710 1908 2014 2276 2385 2845 3021 3180 3414 3420 4028 4770 5035 5121 5690 6042 6828 8535 9063 9540 10070 10242 10811 11380 12084 15105 17070 18126 20140 20484 21622 25605 30157 30210 32433 34140 36252 43244 45315 51210 54055 60314 60420 64866 90471 90630 97299 102420 108110 120628 129732 150785 162165 180942 181260 194598 216220 271413 301570 324330 361884 389196 452355 486495 542826 572983 603140 648660 904710 972990 1085652 1145966 1357065 1718949 1809420 1945980 2291932 2714130 2864915 3437898 5156847 5428260 5729830 6875796 8594745 10313694 11459660 17189490 20627388 25784235 34378980 51568470 103136940