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42166680 = 2335379497
BaseRepresentation
bin1010000011011…
…0100110011000
32221100021210220
42200312212120
541243313210
64103440040
71021260633
oct240664630
987307726
1042166680
11218904a6
1212156020
138974aca
145858c1a
153a7dc70
hex2836998

42166680 has 64 divisors (see below), whose sum is σ = 129932640. Its totient is φ = 10939392.

The previous prime is 42166679. The next prime is 42166697. The reversal of 42166680 is 8666124.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 309 + ... + 9188.

Almost surely, 242166680 is an apocalyptic number.

42166680 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 42166680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64966320).

42166680 is an abundant number, since it is smaller than the sum of its proper divisors (87765960).

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

42166680 is a wasteful number, since it uses less digits than its factorization.

42166680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42166680 is about 6493.5876062466. The cubic root of 42166680 is about 348.0618862062.

The spelling of 42166680 in words is "forty-two million, one hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 9497 18994 28491 37988 47485 56982 75976 94970 113964 142455 189940 227928 284910 351389 379880 569820 702778 1054167 1139640 1405556 1756945 2108334 2811112 3513890 4216668 5270835 7027780 8433336 10541670 14055560 21083340 42166680