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42366105 = 3351983199
BaseRepresentation
bin1010000110011…
…1010010011001
32221201102101000
42201213102121
541321203410
64112015213
71023051225
oct241472231
987642330
1042366105
1121a07311
1212231509
138a14802
1458ab785
153abcdc0
hex2867499

42366105 has 64 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 21041856.

The previous prime is 42366097. The next prime is 42366109. The reversal of 42366105 is 50166324.

42366105 is a `hidden beast` number, since 42 + 3 + 6 + 610 + 5 = 666.

It is not a de Polignac number, because 42366105 - 23 = 42366097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42366109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212796 + ... + 212994.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 242366105 is an apocalyptic number.

42366105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42366105 is a deficient number, since it is larger than the sum of its proper divisors (38273895).

42366105 is a wasteful number, since it uses less digits than its factorization.

42366105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42366105 is about 6508.9250264541. The cubic root of 42366105 is about 348.6097366349.

The spelling of 42366105 in words is "forty-two million, three hundred sixty-six thousand, one hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 83 95 135 171 199 249 285 415 513 597 747 855 995 1245 1577 1791 2241 2565 2985 3735 3781 4731 5373 7885 8955 11205 11343 14193 16517 18905 23655 26865 34029 42579 49551 56715 70965 82585 102087 148653 170145 212895 247755 313823 445959 510435 743265 941469 1569115 2229795 2824407 4707345 8473221 14122035 42366105