Search a number
-
+
75140010 = 232511711069
BaseRepresentation
bin1000111101010…
…00101110101010
312020101111201100
410132220232222
5123213440020
611242302230
71601452041
oct436505652
9166344640
1075140010
1139461890
12211b7976
131274b25a
149d9d558
1568e3a90
hex47a8baa

75140010 has 96 divisors (see below), whose sum is σ = 216328320. Its totient is φ = 17942400.

The previous prime is 75139997. The next prime is 75140027. The reversal of 75140010 is 1004157.

It is a super-2 number, since 2×751400102 = 11292042205600200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69756 + ... + 70824.

It is an arithmetic number, because the mean of its divisors is an integer number (2253420).

Almost surely, 275140010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75140010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108164160).

75140010 is an abundant number, since it is smaller than the sum of its proper divisors (141188310).

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

75140010 is a wasteful number, since it uses less digits than its factorization.

75140010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 75140010 is about 8668.3337499199. Note that the first 3 decimals coincide. The cubic root of 75140010 is about 421.9785895414.

Adding to 75140010 its reverse (1004157), we get a palindrome (76144167).

The spelling of 75140010 in words is "seventy-five million, one hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1069 1278 1562 2130 2138 2343 3195 3207 3905 4686 5345 6390 6414 7029 7810 9621 10690 11715 11759 14058 16035 19242 23430 23518 32070 35145 35277 48105 58795 70290 70554 75899 96210 105831 117590 151798 176385 211662 227697 352770 379495 455394 529155 683091 758990 834889 1058310 1138485 1366182 1669778 2276970 2504667 3415455 4174445 5009334 6830910 7514001 8348890 12523335 15028002 25046670 37570005 75140010