Search a number
-
+
10251150 = 2352713751
BaseRepresentation
bin100111000110…
…101110001110
3201021210221020
4213012232032
510111014100
61003415010
7153063510
oct47065616
921253836
1010251150
115871928
123524466
13217bc90
14150bbb0
15d775a0
hex9c6b8e

10251150 has 96 divisors (see below), whose sum is σ = 31331328. Its totient is φ = 2160000.

The previous prime is 10251149. The next prime is 10251179. The reversal of 10251150 is 5115201.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13275 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (326368).

Almost surely, 210251150 is an apocalyptic number.

10251150 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 10251150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665664).

10251150 is an abundant number, since it is smaller than the sum of its proper divisors (21080178).

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

10251150 is a wasteful number, since it uses less digits than its factorization.

10251150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 10251150 is about 3201.7417135053. The cubic root of 10251150 is about 217.2321978118.

Adding to 10251150 its reverse (5115201), we get a palindrome (15366351).

It can be divided in two parts, 10251 and 150, that added together give a palindrome (10401).

The spelling of 10251150 in words is "ten million, two hundred fifty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 751 910 975 1050 1365 1502 1950 2253 2275 2730 3755 4506 4550 5257 6825 7510 9763 10514 11265 13650 15771 18775 19526 22530 26285 29289 31542 37550 48815 52570 56325 58578 68341 78855 97630 112650 131425 136682 146445 157710 205023 244075 262850 292890 341705 394275 410046 488150 683410 732225 788550 1025115 1464450 1708525 2050230 3417050 5125575 10251150