Search a number
-
+
10536372 = 22337211181
BaseRepresentation
bin101000001100…
…010110110100
3201211022012000
4220030112310
510144130442
61013455300
7155362200
oct50142664
921738160
1010536372
115a47150
123641530
13224ba52
141583b00
15dd1d4c
hexa0c5b4

10536372 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2721600.

The previous prime is 10536371. The next prime is 10536391. The reversal of 10536372 is 27363501.

It is a happy number.

It is a super-2 number, since 2×105363722 = 222030269844768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10536371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58122 + ... + 58302.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 210536372 is an apocalyptic number.

10536372 is a gapful number since it is divisible by the number (12) 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 10536372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10536372 is an abundant number, since it is smaller than the sum of its proper divisors (24320268).

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

10536372 is a wasteful number, since it uses less digits than its factorization.

10536372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 10536372 is about 3245.9778187782. The cubic root of 10536372 is about 219.2285098425.

Subtracting from 10536372 its sum of digits (27), we obtain a triangular number (10536345 = T4590).

Adding to 10536372 its reverse (27363501), we get a palindrome (37899873).

The spelling of 10536372 in words is "ten million, five hundred thirty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 181 189 196 198 231 252 294 297 308 362 378 396 441 462 539 543 588 594 693 724 756 882 924 1078 1086 1188 1267 1323 1386 1617 1629 1764 1991 2079 2156 2172 2534 2646 2772 3234 3258 3801 3982 4158 4851 4887 5068 5292 5973 6468 6516 7602 7964 8316 8869 9702 9774 11403 11946 13937 14553 15204 17738 17919 19404 19548 22806 23892 26607 27874 29106 34209 35476 35838 41811 45612 53214 53757 55748 58212 68418 71676 79821 83622 97559 106428 107514 125433 136836 159642 167244 195118 215028 239463 250866 292677 319284 376299 390236 478926 501732 585354 752598 878031 957852 1170708 1505196 1756062 2634093 3512124 5268186 10536372