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103135340 = 225711193347
BaseRepresentation
bin1100010010110…
…11100001101100
321012001211002102
412021123201230
5202400312330
614122314232
72361431060
oct611334154
9235054072
10103135340
1153243120
122a658978
13184a0939
14d9a9aa0
1590c3945
hex625b86c

103135340 has 96 divisors (see below), whose sum is σ = 272208384. Its totient is φ = 31887360.

The previous prime is 103135337. The next prime is 103135387. The reversal of 103135340 is 43531301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 297047 + ... + 297393.

It is an arithmetic number, because the mean of its divisors is an integer number (2835504).

Almost surely, 2103135340 is an apocalyptic number.

103135340 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 103135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136104192).

103135340 is an abundant number, since it is smaller than the sum of its proper divisors (169073044).

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

103135340 is a wasteful number, since it uses less digits than its factorization.

103135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 103135340 is about 10155.5570994407. The cubic root of 103135340 is about 468.9600364807.

Adding to 103135340 its reverse (43531301), we get a palindrome (146666641).

The spelling of 103135340 in words is "one hundred three million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 193 220 308 347 385 386 694 770 772 965 1351 1388 1540 1735 1930 2123 2429 2702 3470 3817 3860 4246 4858 5404 6755 6940 7634 8492 9716 10615 12145 13510 14861 15268 19085 21230 24290 26719 27020 29722 38170 42460 48580 53438 59444 66971 74305 76340 106876 133595 133942 148610 267190 267884 297220 334855 468797 534380 669710 736681 937594 1339420 1473362 1875188 2343985 2946724 3683405 4687970 5156767 7366810 9375940 10313534 14733620 20627068 25783835 51567670 103135340