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104041224 = 233271712143
BaseRepresentation
bin1100011001110…
…00101100001000
321020202211201200
412030320230020
5203113304344
614153544200
72402223120
oct614705410
9236684650
10104041224
1153801791
122aa15060
131872a071
14db63c80
159202069
hex6338b08

104041224 has 96 divisors (see below), whose sum is σ = 341003520. Its totient is φ = 27975168.

The previous prime is 104041181. The next prime is 104041229. The reversal of 104041224 is 422140401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104041197 and 104041206.

It is not an unprimeable number, because it can be changed into a prime (104041229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497 + ... + 14639.

It is an arithmetic number, because the mean of its divisors is an integer number (3552120).

Almost surely, 2104041224 is an apocalyptic number.

104041224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104041224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170501760).

104041224 is an abundant number, since it is smaller than the sum of its proper divisors (236962296).

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

104041224 is a wasteful number, since it uses less digits than its factorization.

104041224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104041224 is about 10200.0599998235. The cubic root of 104041224 is about 470.3290648625.

Adding to 104041224 its reverse (422140401), we get a palindrome (526181625).

It can be divided in two parts, 10404 and 1224, that added together give a triangular number (11628 = T152).

The spelling of 104041224 in words is "one hundred four million, forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 12143 24286 36429 48572 72858 85001 97144 109287 145716 170002 206431 218574 255003 291432 340004 412862 437148 510006 619293 680008 765009 825724 874296 1020012 1238586 1445017 1530018 1651448 1857879 2040024 2477172 2890034 3060036 3715758 4335051 4954344 5780068 6120072 7431516 8670102 11560136 13005153 14863032 17340204 26010306 34680408 52020612 104041224