Search a number
-
+
10144575 = 3352719113
BaseRepresentation
bin100110101100…
…101100111111
3201002101202000
4212230230333
510044111300
61001233343
7152141010
oct46545477
921071660
1010144575
1157a9851
123492853
13214260c
1414c1007
15d55c00
hex9acb3f

10144575 has 96 divisors (see below), whose sum is σ = 22617600. Its totient is φ = 4354560.

The previous prime is 10144559. The next prime is 10144579. The reversal of 10144575 is 57544101.

It is a happy number.

It is not a de Polignac number, because 10144575 - 24 = 10144559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144579) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89719 + ... + 89831.

It is an arithmetic number, because the mean of its divisors is an integer number (235600).

Almost surely, 210144575 is an apocalyptic number.

10144575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10144575 is an abundant number, since it is smaller than the sum of its proper divisors (12473025).

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

10144575 is a wasteful number, since it uses less digits than its factorization.

10144575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 10144575 is about 3185.0549445810. The cubic root of 10144575 is about 216.4767632541.

Adding to 10144575 its reverse (57544101), we get a palindrome (67688676).

The spelling of 10144575 in words is "ten million, one hundred forty-four thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 95 105 113 133 135 171 175 189 225 285 315 339 399 475 513 525 565 665 675 791 855 945 1017 1197 1425 1575 1695 1995 2147 2373 2565 2825 3051 3325 3591 3955 4275 4725 5085 5985 6441 7119 8475 9975 10735 11865 12825 15029 15255 17955 19323 19775 21357 25425 29925 32205 35595 45087 53675 57969 59325 75145 76275 89775 96615 106785 135261 161025 177975 225435 289845 375725 405783 483075 533925 676305 1127175 1449225 2028915 3381525 10144575