Search a number
-
+
103589332 = 227211232089
BaseRepresentation
bin1100010110010…
…10010111010100
321012220212211221
412023022113110
5203004324312
614140140124
72365331500
oct613122724
9235825757
10103589332
1153523220
122a837644
13185cc482
14da87300
159163207
hex62ca5d4

103589332 has 72 divisors (see below), whose sum is σ = 240166080. Its totient is φ = 38586240.

The previous prime is 103589327. The next prime is 103589341. The reversal of 103589332 is 233985301.

It is a super-3 number, since 3×1035893323 (a number of 25 digits) contains 333 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 48544 + ... + 50632.

It is an arithmetic number, because the mean of its divisors is an integer number (3335640).

Almost surely, 2103589332 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 103589332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120083040).

103589332 is an abundant number, since it is smaller than the sum of its proper divisors (136576748).

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

103589332 is a wasteful number, since it uses less digits than its factorization.

103589332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 103589332 is about 10177.8844560154. The cubic root of 103589332 is about 469.6471351740.

The spelling of 103589332 in words is "one hundred three million, five hundred eighty-nine thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 154 161 196 253 308 322 506 539 644 1012 1078 1127 1771 2089 2156 2254 3542 4178 4508 7084 8356 12397 14623 22979 24794 29246 45958 48047 49588 58492 91916 96094 102361 160853 192188 204722 321706 336329 409444 528517 643412 672658 1057034 1125971 1345316 2114068 2251942 2354303 3699619 4503884 4708606 7399238 9417212 14798476 25897333 51794666 103589332