Search a number
-
+
10144500 = 223536763
BaseRepresentation
bin100110101100…
…101011110100
3201002101122020
4212230223310
510044111000
61001233140
7152140542
oct46545364
921071566
1010144500
1157a9793
1234927b0
132142582
1414c0d92
15d55ba0
hex9acaf4

10144500 has 48 divisors (see below), whose sum is σ = 29545152. Its totient is φ = 2704800.

The previous prime is 10144457. The next prime is 10144501. The reversal of 10144500 is 544101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10144500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144501) 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, 1882 + ... + 4881.

It is an arithmetic number, because the mean of its divisors is an integer number (615524).

Almost surely, 210144500 is an apocalyptic number.

10144500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144500 is an abundant number, since it is smaller than the sum of its proper divisors (19400652).

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

10144500 is a wasteful number, since it uses less digits than its factorization.

10144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10144500 is about 3185.0431708220. The cubic root of 10144500 is about 216.4762297737.

Adding to 10144500 its reverse (544101), we get a palindrome (10688601).

The spelling of 10144500 in words is "ten million, one hundred forty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 6763 13526 20289 27052 33815 40578 67630 81156 101445 135260 169075 202890 338150 405780 507225 676300 845375 1014450 1690750 2028900 2536125 3381500 5072250 10144500