Search a number
-
+
10249929 = 3317137163
BaseRepresentation
bin100111000110…
…011011001001
3201021202021000
4213012123021
510110444204
61003405213
7153060114
oct47063311
921252230
1010249929
115870a18
123523809
13217b561
14150b57b
15d77039
hex9c66c9

10249929 has 32 divisors (see below), whose sum is σ = 16295040. Its totient is φ = 6345216.

The previous prime is 10249879. The next prime is 10249937. The reversal of 10249929 is 92994201.

10249929 = T270 + T271 + ... + T432.

10249929 = 402 + 412 + ... + 3132.

10249929 is nontrivially palindromic in base 16.

10249929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10249929 - 27 = 10249801 is a prime.

It is a super-2 number, since 2×102499292 = 210122089010082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10249893 and 10249902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62802 + ... + 62964.

It is an arithmetic number, because the mean of its divisors is an integer number (509220).

Almost surely, 210249929 is an apocalyptic number.

It is an amenable number.

10249929 is a deficient number, since it is larger than the sum of its proper divisors (6045111).

10249929 is a wasteful number, since it uses less digits than its factorization.

10249929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10249929 is about 3201.5510303601. The cubic root of 10249929 is about 217.2235727292.

The spelling of 10249929 in words is "ten million, two hundred forty-nine thousand, nine hundred twenty-nine".

Divisors: 1 3 9 17 27 51 137 153 163 411 459 489 1233 1467 2329 2771 3699 4401 6987 8313 20961 22331 24939 62883 66993 74817 200979 379627 602937 1138881 3416643 10249929