Search a number
-
+
103630266 = 2361737113
BaseRepresentation
bin1100010110101…
…00010110111010
321012222222000000
412023110112322
5203012132031
614141053430
72365562025
oct613242672
9235888000
10103630266
1153550a53
122a857276
1318614cac
14da981bc
1591703e6
hex62d45ba

103630266 has 112 divisors (see below), whose sum is σ = 255683304. Its totient is φ = 31352832.

The previous prime is 103630259. The next prime is 103630273. The reversal of 103630266 is 662036301.

103630266 is a `hidden beast` number, since 1 + 0 + 3 + 630 + 26 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (103630259) and next prime (103630273).

It can be written as a sum of positive squares in 4 ways, for example, as 91872225 + 11758041 = 9585^2 + 3429^2 .

It is a super-3 number, since 3×1036302663 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 917026 + ... + 917138.

Almost surely, 2103630266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103630266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127841652).

103630266 is an abundant number, since it is smaller than the sum of its proper divisors (152053038).

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

103630266 is a wasteful number, since it uses less digits than its factorization.

103630266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 103630266 is about 10179.8951861009. The cubic root of 103630266 is about 469.7089884034.

Adding to 103630266 its reverse (662036301), we get a palindrome (765666567).

The spelling of 103630266 in words is "one hundred three million, six hundred thirty thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 113 153 162 222 226 243 306 333 339 459 486 629 666 678 729 918 999 1017 1258 1377 1458 1887 1921 1998 2034 2754 2997 3051 3774 3842 4131 4181 5661 5763 5994 6102 8262 8362 8991 9153 11322 11526 12393 12543 16983 17289 17982 18306 24786 25086 26973 27459 33966 34578 37629 50949 51867 53946 54918 71077 75258 82377 101898 103734 112887 142154 152847 155601 164754 213231 225774 305694 311202 338661 426462 458541 466803 639693 677322 917082 933606 1015983 1279386 1400409 1919079 2031966 2800818 3047949 3838158 5757237 6095898 11514474 17271711 34543422 51815133 103630266