Search a number
-
+
41362120 = 23529181197
BaseRepresentation
bin1001110111001…
…0001011001000
32212211102011101
42131302023020
541042041440
64034311144
71011400162
oct235621310
985742141
1041362120
1121390a78
1211a284b4
138752837
1456c9932
15397069a
hex27722c8

41362120 has 64 divisors (see below), whose sum is σ = 97297200. Its totient is φ = 15805440.

The previous prime is 41362117. The next prime is 41362157. The reversal of 41362120 is 2126314.

It can be written as a sum of positive squares in 8 ways, for example, as 17489124 + 23872996 = 4182^2 + 4886^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209862 + ... + 210058.

Almost surely, 241362120 is an apocalyptic number.

41362120 is a gapful number since it is divisible by the number (40) 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 41362120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648600).

41362120 is an abundant number, since it is smaller than the sum of its proper divisors (55935080).

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

41362120 is a wasteful number, since it uses less digits than its factorization.

41362120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 41362120 is about 6431.3388963730. The cubic root of 41362120 is about 345.8339274518.

Adding to 41362120 its reverse (2126314), we get a palindrome (43488434).

The spelling of 41362120 in words is "forty-one million, three hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 181 197 232 290 362 394 580 724 788 905 985 1160 1448 1576 1810 1970 3620 3940 5249 5713 7240 7880 10498 11426 20996 22852 26245 28565 35657 41992 45704 52490 57130 71314 104980 114260 142628 178285 209960 228520 285256 356570 713140 1034053 1426280 2068106 4136212 5170265 8272424 10340530 20681060 41362120