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17942085 = 3257279103
BaseRepresentation
bin100010001110…
…0011001000101
31020202112220200
41010130121011
514043121320
61440321113
7305335200
oct104343105
936675820
1017942085
11a145177
126013199
133942825
142550937
151896290
hex111c645

17942085 has 72 divisors (see below), whose sum is σ = 36990720. Its totient is φ = 8019648.

The previous prime is 17942083. The next prime is 17942101. The reversal of 17942085 is 58024971.

It is not a de Polignac number, because 17942085 - 21 = 17942083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17942083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174144 + ... + 174246.

It is an arithmetic number, because the mean of its divisors is an integer number (513760).

Almost surely, 217942085 is an apocalyptic number.

17942085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17942085 is an abundant number, since it is smaller than the sum of its proper divisors (19048635).

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

17942085 is a wasteful number, since it uses less digits than its factorization.

17942085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 17942085 is about 4235.8098399244. The cubic root of 17942085 is about 261.7927629139.

The spelling of 17942085 in words is "seventeen million, nine hundred forty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 79 103 105 147 237 245 309 315 395 441 515 553 711 721 735 927 1185 1545 1659 2163 2205 2765 3555 3605 3871 4635 4977 5047 6489 8137 8295 10815 11613 15141 19355 24411 24885 25235 32445 34839 40685 45423 56959 58065 73233 75705 122055 170877 174195 227115 284795 366165 398713 512631 854385 1196139 1993565 2563155 3588417 5980695 17942085