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41342120 = 2355319501
BaseRepresentation
bin1001110110110…
…1010010101000
32212210101201122
42131231102220
541040421440
64034034412
71011254651
oct235552250
985711648
1041342120
1121377a46
1211a18a08
1387466c1
1456c2528
1539697b5
hex276d4a8

41342120 has 32 divisors (see below), whose sum is σ = 94779720. Its totient is φ = 16224000.

The previous prime is 41342117. The next prime is 41342131. The reversal of 41342120 is 2124314.

41342120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36990724 + 4351396 = 6082^2 + 2086^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7631 + ... + 11870.

Almost surely, 241342120 is an apocalyptic number.

41342120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41342120 is an abundant number, since it is smaller than the sum of its proper divisors (53437600).

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

41342120 is a wasteful number, since it uses less digits than its factorization.

41342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19561 counting only the distinct ones).

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

The square root of 41342120 is about 6429.7838221825. The cubic root of 41342120 is about 345.7781776202.

Adding to 41342120 its reverse (2124314), we get a palindrome (43466434).

The spelling of 41342120 in words is "forty-one million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 19501 39002 78004 97505 156008 195010 390020 780040 1033553 2067106 4134212 5167765 8268424 10335530 20671060 41342120