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103540216 = 2313343137
BaseRepresentation
bin1100010101111…
…10010111111000
321012211101110211
412022332113320
5203001241331
614135120504
72365035343
oct612762770
9235741424
10103540216
115349a32a
122a813134
13185b3000
14da7345a
1591538b1
hex62be5f8

103540216 has 64 divisors (see below), whose sum is σ = 216770400. Its totient is φ = 46335744.

The previous prime is 103540193. The next prime is 103540219. The reversal of 103540216 is 612045301.

It is a super-3 number, since 3×1035402163 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103540219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755700 + ... + 755836.

Almost surely, 2103540216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103540216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108385200).

103540216 is an abundant number, since it is smaller than the sum of its proper divisors (113230184).

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

103540216 is a wasteful number, since it uses less digits than its factorization.

103540216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 103540216 is about 10175.4712912965. The cubic root of 103540216 is about 469.5728970424.

Adding to 103540216 its reverse (612045301), we get a palindrome (715585517).

The spelling of 103540216 in words is "one hundred three million, five hundred forty thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 43 52 86 104 137 169 172 274 338 344 548 559 676 1096 1118 1352 1781 2197 2236 3562 4394 4472 5891 7124 7267 8788 11782 14248 14534 17576 23153 23564 29068 46306 47128 58136 76583 92612 94471 153166 185224 188942 300989 306332 377884 601978 612664 755768 995579 1203956 1991158 2407912 3982316 7964632 12942527 25885054 51770108 103540216