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103316040 = 23335271353
BaseRepresentation
bin1100010100001…
…11101001001000
321012101222222000
412022013221020
5202422103130
614130231000
72363112642
oct612075110
9235358860
10103316040
1153356963
122a725460
1318534c69
14da15892
15910c260
hex6287a48

103316040 has 128 divisors (see below), whose sum is σ = 346636800. Its totient is φ = 27371520.

The previous prime is 103316039. The next prime is 103316047. The reversal of 103316040 is 40613301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103316047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 292504 + ... + 292856.

It is an arithmetic number, because the mean of its divisors is an integer number (2708100).

Almost surely, 2103316040 is an apocalyptic number.

103316040 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 103316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173318400).

103316040 is an abundant number, since it is smaller than the sum of its proper divisors (243320760).

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

103316040 is a wasteful number, since it uses less digits than its factorization.

103316040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103316040 is about 10164.4498129510. The cubic root of 103316040 is about 469.2337597781.

Adding to 103316040 its reverse (40613301), we get a palindrome (143929341).

The spelling of 103316040 in words is "one hundred three million, three hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 271 353 360 540 542 706 813 1059 1080 1084 1355 1412 1626 1765 2118 2168 2439 2710 2824 3177 3252 3530 4065 4236 4878 5295 5420 6354 6504 7060 7317 8130 8472 9531 9756 10590 10840 12195 12708 14120 14634 15885 16260 19062 19512 21180 24390 25416 29268 31770 32520 36585 38124 42360 47655 48780 58536 63540 73170 76248 95310 95663 97560 127080 146340 190620 191326 286989 292680 381240 382652 478315 573978 765304 860967 956630 1147956 1434945 1721934 1913260 2295912 2582901 2869890 3443868 3826520 4304835 5165802 5739780 6887736 8609670 10331604 11479560 12914505 17219340 20663208 25829010 34438680 51658020 103316040