Search a number
-
+
10252632 = 23313171933
BaseRepresentation
bin100111000111…
…000101011000
3201021212222010
4213013011120
510111041012
61003425520
7153101025
oct47070530
921255863
1010252632
115872a55
1235252a0
13217c860
14150c54c
15d77c3c
hex9c7158

10252632 has 64 divisors (see below), whose sum is σ = 29242080. Its totient is φ = 2967552.

The previous prime is 10252591. The next prime is 10252637. The reversal of 10252632 is 23625201.

It is a junction number, because it is equal to n+sod(n) for n = 10252599 and 10252608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4338 + ... + 6270.

Almost surely, 210252632 is an apocalyptic number.

10252632 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 10252632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14621040).

10252632 is an abundant number, since it is smaller than the sum of its proper divisors (18989448).

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

10252632 is a wasteful number, since it uses less digits than its factorization.

10252632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10252632 is about 3201.9731416737. The cubic root of 10252632 is about 217.2426656651.

Adding to 10252632 its reverse (23625201), we get a palindrome (33877833).

The spelling of 10252632 in words is "ten million, two hundred fifty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 1933 2652 3866 5304 5799 7732 11598 15464 23196 25129 32861 46392 50258 65722 75387 98583 100516 131444 150774 197166 201032 262888 301548 394332 427193 603096 788664 854386 1281579 1708772 2563158 3417544 5126316 10252632