Search a number
-
+
10450680 = 2335731193
BaseRepresentation
bin100111110111…
…011011111000
3201122221122020
4213313123320
510133410210
61011554440
7154554312
oct47673370
921587566
1010450680
115998829
1235bba20
13221ba46
1415607b2
15db6770
hex9f76f8

10450680 has 64 divisors (see below), whose sum is σ = 31808160. Its totient is φ = 2746368.

The previous prime is 10450651. The next prime is 10450681. The reversal of 10450680 is 8605401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10450680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10450681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8164 + ... + 9356.

Almost surely, 210450680 is an apocalyptic number.

10450680 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 10450680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15904080).

10450680 is an abundant number, since it is smaller than the sum of its proper divisors (21357480).

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

10450680 is a wasteful number, since it uses less digits than its factorization.

10450680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10450680 is about 3232.7511503362. The cubic root of 10450680 is about 218.6325649940.

The spelling of 10450680 in words is "ten million, four hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1193 1460 1752 2190 2386 2920 3579 4380 4772 5965 7158 8760 9544 11930 14316 17895 23860 28632 35790 47720 71580 87089 143160 174178 261267 348356 435445 522534 696712 870890 1045068 1306335 1741780 2090136 2612670 3483560 5225340 10450680