Search a number
-
+
10449460 = 2257101739
BaseRepresentation
bin100111110111…
…001000110100
3201122212222001
4213313020310
510133340320
61011545044
7154550620
oct47671064
921585861
1010449460
11599791a
1235bb184
13221b318
141560180
15db620a
hex9f7234

10449460 has 48 divisors (see below), whose sum is σ = 25361280. Its totient is φ = 3542400.

The previous prime is 10449457. The next prime is 10449469. The reversal of 10449460 is 6494401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10449469) 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 15 ways as a sum of consecutive naturals, for example, 13771 + ... + 14509.

It is an arithmetic number, because the mean of its divisors is an integer number (528360).

Almost surely, 210449460 is an apocalyptic number.

10449460 is a gapful number since it is divisible by the number (10) 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 10449460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680640).

10449460 is an abundant number, since it is smaller than the sum of its proper divisors (14911820).

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

10449460 is a wasteful number, since it uses less digits than its factorization.

10449460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 10449460 is about 3232.5624510595. The cubic root of 10449460 is about 218.6240570274.

The spelling of 10449460 in words is "ten million, four hundred forty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 739 1010 1414 1478 2020 2828 2956 3535 3695 5173 7070 7390 10346 14140 14780 20692 25865 51730 74639 103460 149278 298556 373195 522473 746390 1044946 1492780 2089892 2612365 5224730 10449460