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103055560 = 23529731217
BaseRepresentation
bin1100010010010…
…00000011001000
321011220202122121
412021020003020
5202340234220
614120501024
72360646346
oct611100310
9234822577
10103055560
1153199193
122a61a774
131847352a
14d988996
1590a9eaa
hex62480c8

103055560 has 64 divisors (see below), whose sum is σ = 243356400. Its totient is φ = 39223296.

The previous prime is 103055549. The next prime is 103055567. The reversal of 103055560 is 65550301.

It can be written as a sum of positive squares in 8 ways, for example, as 40424164 + 62631396 = 6358^2 + 7914^2 .

It is not an unprimeable number, because it can be changed into a prime (103055567) 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, 84072 + ... + 85288.

Almost surely, 2103055560 is an apocalyptic number.

103055560 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 103055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121678200).

103055560 is an abundant number, since it is smaller than the sum of its proper divisors (140300840).

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

103055560 is a wasteful number, since it uses less digits than its factorization.

103055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 103055560 is about 10151.6284407971. The cubic root of 103055560 is about 468.8390844613.

The spelling of 103055560 in words is "one hundred three million, fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 1160 1217 1460 2117 2434 2920 4234 4868 6085 8468 9736 10585 12170 16936 21170 24340 35293 42340 48680 70586 84680 88841 141172 176465 177682 282344 352930 355364 444205 705860 710728 888410 1411720 1776820 2576389 3553640 5152778 10305556 12881945 20611112 25763890 51527780 103055560