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42181360 = 2451340559
BaseRepresentation
bin1010000011101…
…0001011110000
32221101000221121
42200322023300
541244300420
64104032024
71021351504
oct240721360
987330847
1042181360
11218a0531
1212162614
13897b6b0
145860304
153a832aa
hex283a2f0

42181360 has 40 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 15574272.

The previous prime is 42181351. The next prime is 42181393. The reversal of 42181360 is 6318124.

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

It is a congruent number.

It is an unprimeable number.

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, 19240 + ... + 21319.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 242181360 is an apocalyptic number.

42181360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42181360 is an abundant number, since it is smaller than the sum of its proper divisors (63436880).

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

42181360 is a wasteful number, since it uses less digits than its factorization.

42181360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40585 (or 40579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 42181360 is about 6494.7178537639. The cubic root of 42181360 is about 348.1022731946.

Adding to 42181360 its reverse (6318124), we get a palindrome (48499484).

The spelling of 42181360 in words is "forty-two million, one hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 40559 81118 162236 202795 324472 405590 527267 648944 811180 1054534 1622360 2109068 2636335 3244720 4218136 5272670 8436272 10545340 21090680 42181360