Search a number
-
+
71025012 = 223723353
BaseRepresentation
bin1000011101111…
…00000101110100
311221122110000000
410032330011310
5121140300022
611014151300
71521463002
oct416740564
9157573000
1071025012
1137101163
121b952530
131193a246
14960ba72
15637e6ac
hex43bc174

71025012 has 96 divisors (see below), whose sum is σ = 195068160. Its totient is φ = 22581504.

The previous prime is 71025011. The next prime is 71025013. The reversal of 71025012 is 21052017.

It is an interprime number because it is at equal distance from previous prime (71025011) and next prime (71025013).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71025011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 201028 + ... + 201380.

It is an arithmetic number, because the mean of its divisors is an integer number (2031960).

Almost surely, 271025012 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 71025012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97534080).

71025012 is an abundant number, since it is smaller than the sum of its proper divisors (124043148).

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

71025012 is a wasteful number, since it uses less digits than its factorization.

71025012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

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

The square root of 71025012 is about 8427.6338316279. The cubic root of 71025012 is about 414.1303937094.

Adding to 71025012 its reverse (21052017), we get a palindrome (92077029).

The spelling of 71025012 in words is "seventy-one million, twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 353 414 486 621 706 729 828 972 1059 1242 1412 1458 1863 2118 2187 2484 2916 3177 3726 4236 4374 5589 6354 7452 8119 8748 9531 11178 12708 16238 16767 19062 22356 24357 28593 32476 33534 38124 48714 50301 57186 67068 73071 85779 97428 100602 114372 146142 171558 201204 219213 257337 292284 343116 438426 514674 657639 772011 876852 1029348 1315278 1544022 1972917 2630556 3088044 3945834 5918751 7891668 11837502 17756253 23675004 35512506 71025012