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42086640 = 2435175361
BaseRepresentation
bin1010000010001…
…1000011110000
32221012020000110
42200203003300
541233233030
64102021320
71020505401
oct240430360
987166013
1042086640
1121836352
1212117840
13894754b
1458379a8
153a651b0
hex28230f0

42086640 has 40 divisors (see below), whose sum is σ = 130469328. Its totient is φ = 11223040.

The previous prime is 42086633. The next prime is 42086669. The reversal of 42086640 is 4668024.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42086598 and 42086607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87441 + ... + 87920.

Almost surely, 242086640 is an apocalyptic number.

42086640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42086640 is an abundant number, since it is smaller than the sum of its proper divisors (88382688).

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

42086640 is a wasteful number, since it uses less digits than its factorization.

42086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175377 (or 175371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 42086640 is about 6487.4216758278. The cubic root of 42086640 is about 347.8415185364.

The spelling of 42086640 in words is "forty-two million, eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 175361 350722 526083 701444 876805 1052166 1402888 1753610 2104332 2630415 2805776 3507220 4208664 5260830 7014440 8417328 10521660 14028880 21043320 42086640