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41140224 = 2143431
BaseRepresentation
bin1001110011110…
…0000000000000
32212102010210000
42130330000000
541012441344
64025440000
71006454226
oct234740000
985363700
1041140224
112124a294
1211940000
1386a5838
14566cb16
153929a69
hex273c000

41140224 has 150 divisors (see below), whose sum is σ = 126873824. Its totient is φ = 13271040.

The previous prime is 41140223. The next prime is 41140237. The reversal of 41140224 is 42204114.

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 = 41140197 and 41140206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41140223) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327089 + ... + 1327119.

Almost surely, 241140224 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 41140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63436912).

41140224 is an abundant number, since it is smaller than the sum of its proper divisors (85733600).

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

41140224 is an frugal number, since it uses more digits than its factorization.

41140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

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

The square root of 41140224 is about 6414.0645459802. The cubic root of 41140224 is about 345.2143847111.

Adding to 41140224 its reverse (42204114), we get a palindrome (83344338).

The spelling of 41140224 in words is "forty-one million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 256 279 288 324 372 384 432 496 512 558 576 648 744 768 837 864 992 1024 1116 1152 1296 1488 1536 1674 1728 1984 2048 2232 2304 2511 2592 2976 3072 3348 3456 3968 4096 4464 4608 5022 5184 5952 6144 6696 6912 7936 8192 8928 9216 10044 10368 11904 12288 13392 13824 15872 16384 17856 18432 20088 20736 23808 24576 26784 27648 31744 35712 36864 40176 41472 47616 49152 53568 55296 63488 71424 73728 80352 82944 95232 107136 110592 126976 142848 147456 160704 165888 190464 214272 221184 253952 285696 321408 331776 380928 428544 442368 507904 571392 642816 663552 761856 857088 1142784 1285632 1327104 1523712 1714176 2285568 2571264 3428352 4571136 5142528 6856704 10285056 13713408 20570112 41140224