[go: up one dir, main page]

Search a number
-
+
10200150 = 23252191193
BaseRepresentation
bin100110111010…
…010001010110
3201012012222100
4212322101112
510102401100
61002342530
7152462022
oct46722126
921165870
1010200150
115837584
1234baa46
1321619bc
1414d7382
15d67400
hex9ba456

10200150 has 72 divisors (see below), whose sum is σ = 28870920. Its totient is φ = 2574720.

The previous prime is 10200149. The next prime is 10200161. The reversal of 10200150 is 5100201.

It is a happy number.

10200150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7954 + ... + 9146.

It is an arithmetic number, because the mean of its divisors is an integer number (400985).

Almost surely, 210200150 is an apocalyptic number.

10200150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435460).

10200150 is an abundant number, since it is smaller than the sum of its proper divisors (18670770).

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

10200150 is a wasteful number, since it uses less digits than its factorization.

10200150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10200150 is about 3193.7673678588. The cubic root of 10200150 is about 216.8713516095.

Adding to 10200150 its reverse (5100201), we get a palindrome (15300351).

The spelling of 10200150 in words is "ten million, two hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1193 1425 1710 2386 2850 3579 4275 5965 7158 8550 10737 11930 17895 21474 22667 29825 35790 45334 53685 59650 68001 89475 107370 113335 136002 178950 204003 226670 268425 340005 408006 536850 566675 680010 1020015 1133350 1700025 2040030 3400050 5100075 10200150