Search a number
-
+
10095500 = 225361331
BaseRepresentation
bin100110100000…
…101110001100
3200222220102102
4212200232030
510041024000
61000214232
7151544642
oct46405614
920886372
1010095500
115775998
12346a378
13212618c
1414ab192
15d463d5
hex9a0b8c

10095500 has 48 divisors (see below), whose sum is σ = 22477728. Its totient is φ = 3960000.

The previous prime is 10095461. The next prime is 10095521. The reversal of 10095500 is 559001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30335 + ... + 30665.

It is an arithmetic number, because the mean of its divisors is an integer number (468286).

Almost surely, 210095500 is an apocalyptic number.

10095500 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 10095500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238864).

10095500 is an abundant number, since it is smaller than the sum of its proper divisors (12382228).

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

10095500 is a wasteful number, since it uses less digits than its factorization.

10095500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 10095500 is about 3177.3416561648. The cubic root of 10095500 is about 216.1271256691.

The spelling of 10095500 in words is "ten million, ninety-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 331 500 610 662 1220 1324 1525 1655 3050 3310 6100 6620 7625 8275 15250 16550 20191 30500 33100 40382 41375 80764 82750 100955 165500 201910 403820 504775 1009550 2019100 2523875 5047750 10095500