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42131680 = 255263323
BaseRepresentation
bin1010000010111…
…0000011100000
32221021111210121
42200232003200
541241203210
64103010024
71021053613
oct240560340
987244717
1042131680
1121867178
1212139914
138961bb6
14584a17a
153a736da
hex282e0e0

42131680 has 24 divisors (see below), whose sum is σ = 99536472. Its totient is φ = 16852608.

The previous prime is 42131671. The next prime is 42131681. The reversal of 42131680 is 8613124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131502 + ... + 131821.

It is an arithmetic number, because the mean of its divisors is an integer number (4147353).

Almost surely, 242131680 is an apocalyptic number.

42131680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42131680 is an abundant number, since it is smaller than the sum of its proper divisors (57404792).

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

42131680 is a wasteful number, since it uses less digits than its factorization.

42131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263338 (or 263330 counting only the distinct ones).

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

The square root of 42131680 is about 6490.8920804463. The cubic root of 42131680 is about 347.9655578720.

The spelling of 42131680 in words is "forty-two million, one hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263323 526646 1053292 1316615 2106584 2633230 4213168 5266460 8426336 10532920 21065840 42131680