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41142320 = 2451034993
BaseRepresentation
bin1001110011110…
…0100000110000
32212102020122122
42130330200300
541013023240
64025453412
71006463312
oct234744060
985366578
1041142320
112125091a
1211941268
1386a678b
14566d7b2
15392a4b5
hex273c830

41142320 has 40 divisors (see below), whose sum is σ = 96603936. Its totient is φ = 16293888.

The previous prime is 41142317. The next prime is 41142323. The reversal of 41142320 is 2324114.

It is an interprime number because it is at equal distance from previous prime (41142317) and next prime (41142323).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (41142323) 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 7 ways as a sum of consecutive naturals, for example, 5744 + ... + 10736.

Almost surely, 241142320 is an apocalyptic number.

41142320 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 41142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48301968).

41142320 is an abundant number, since it is smaller than the sum of its proper divisors (55461616).

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

41142320 is a wasteful number, since it uses less digits than its factorization.

41142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 41142320 is about 6414.2279348336. The cubic root of 41142320 is about 345.2202472384.

Adding to 41142320 its reverse (2324114), we get a palindrome (43466434).

The spelling of 41142320 in words is "forty-one million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 4993 8240 9986 19972 24965 39944 49930 79888 99860 199720 399440 514279 1028558 2057116 2571395 4114232 5142790 8228464 10285580 20571160 41142320