Search a number
-
+
10730500 = 2253111951
BaseRepresentation
bin101000111011…
…110000000100
3202012011110221
4220323300010
510221334000
61021554124
7160131154
oct50736004
922164427
1010730500
116069a90
123715944
1322b9211
1415d4764
15e1e61a
hexa3bc04

10730500 has 48 divisors (see below), whose sum is σ = 25579008. Its totient is φ = 3900000.

The previous prime is 10730471. The next prime is 10730509. The reversal of 10730500 is 503701.

It is not an unprimeable number, because it can be changed into a prime (10730509) 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, 4525 + ... + 6475.

It is an arithmetic number, because the mean of its divisors is an integer number (532896).

Almost surely, 210730500 is an apocalyptic number.

10730500 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 10730500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789504).

10730500 is an abundant number, since it is smaller than the sum of its proper divisors (14848508).

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

10730500 is a wasteful number, since it uses less digits than its factorization.

10730500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10730500 is about 3275.7441902566. The cubic root of 10730500 is about 220.5667206904.

The spelling of 10730500 in words is "ten million, seven hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 1951 2750 3902 5500 7804 9755 19510 21461 39020 42922 48775 85844 97550 107305 195100 214610 243875 429220 487750 536525 975500 1073050 2146100 2682625 5365250 10730500