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99144 = 233617
BaseRepresentation
bin11000001101001000
312001000000
4120031020
511133034
62043000
7562023
oct301510
9161000
1099144
1168541
1249460
1336186
14281ba
151e599
hex18348

99144 has 56 divisors (see below), whose sum is σ = 295110. Its totient is φ = 31104.

The previous prime is 99139. The next prime is 99149. The reversal of 99144 is 44199.

It is an interprime number because it is at equal distance from previous prime (99139) and next prime (99149).

It can be written as a sum of positive squares in only one way, i.e., 72900 + 26244 = 270^2 + 162^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99149) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5824 + ... + 5840.

299144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147555).

99144 is an abundant number, since it is smaller than the sum of its proper divisors (195966).

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

99144 is a wasteful number, since it uses less digits than its factorization.

99144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 22 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 99144 is about 314.8714023216. The cubic root of 99144 is about 46.2830686318.

Subtracting from 99144 its reverse (44199), we obtain a palindrome (54945).

It can be divided in two parts, 991 and 44, that added together give a triangular number (1035 = T45).

The spelling of 99144 in words is "ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2754 2916 3672 4131 5508 5832 8262 11016 12393 16524 24786 33048 49572 99144