Search a number
-
+
10434150 = 2335259131
BaseRepresentation
bin100111110011…
…011001100110
3201122002222000
4213303121212
510132343100
61011350130
7154455156
oct47633146
921562860
1010434150
115987371
1235b2346
13221436c
141558766
15db1900
hex9f3666

10434150 has 96 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 2714400.

The previous prime is 10434143. The next prime is 10434199. The reversal of 10434150 is 5143401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79585 + ... + 79715.

It is an arithmetic number, because the mean of its divisors is an integer number (306900).

Almost surely, 210434150 is an apocalyptic number.

10434150 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 10434150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

10434150 is an abundant number, since it is smaller than the sum of its proper divisors (19028250).

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

10434150 is a wasteful number, since it uses less digits than its factorization.

10434150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10434150 is about 3230.1934926564. The cubic root of 10434150 is about 218.5172326771.

Adding to 10434150 its reverse (5143401), we get a palindrome (15577551).

The spelling of 10434150 in words is "ten million, four hundred thirty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 90 118 131 135 150 177 225 262 270 295 354 393 450 531 590 655 675 786 885 1062 1179 1310 1350 1475 1593 1770 1965 2358 2655 2950 3186 3275 3537 3930 4425 5310 5895 6550 7074 7729 7965 8850 9825 11790 13275 15458 15930 17685 19650 23187 26550 29475 35370 38645 39825 46374 58950 69561 77290 79650 88425 115935 139122 176850 193225 208683 231870 347805 386450 417366 579675 695610 1043415 1159350 1739025 2086830 3478050 5217075 10434150