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41204124 = 223213175179
BaseRepresentation
bin1001110100101…
…1100110011100
32212112101102200
42131023212130
541022012444
64031051500
71010141433
oct235134634
985471380
1041204124
11212932a5
1211970b90
1386c8950
14568811a
15393d969
hex274b99c

41204124 has 72 divisors (see below), whose sum is σ = 118787760. Its totient is φ = 11930112.

The previous prime is 41204123. The next prime is 41204131. The reversal of 41204124 is 42140214.

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 = 41204097 and 41204106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41204123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5367 + ... + 10545.

It is an arithmetic number, because the mean of its divisors is an integer number (1649830).

Almost surely, 241204124 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 41204124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59393880).

41204124 is an abundant number, since it is smaller than the sum of its proper divisors (77583636).

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

41204124 is a wasteful number, since it uses less digits than its factorization.

41204124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5214 counting only the distinct ones).

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

The square root of 41204124 is about 6419.0438540331. The cubic root of 41204124 is about 345.3930240566.

Adding to 41204124 its reverse (42140214), we get a palindrome (83344338).

It can be divided in two parts, 41204 and 124, that added together give a triangular number (41328 = T287).

The spelling of 41204124 in words is "forty-one million, two hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 5179 7956 10358 15537 20716 31074 46611 62148 67327 88043 93222 134654 176086 186444 201981 264129 269308 352172 403962 528258 605943 792387 807924 1056516 1144559 1211886 1584774 2289118 2423772 3169548 3433677 4578236 6867354 10301031 13734708 20602062 41204124