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42135640 = 2353173323
BaseRepresentation
bin1010000010111…
…1000001011000
32221021201020021
42200233001120
541241320030
64103040224
71021101301
oct240570130
987251207
1042135640
112186a148
1212140074
138963941
14584b7a8
153a7497a
hex282f058

42135640 has 32 divisors (see below), whose sum is σ = 95132880. Its totient is φ = 16796032.

The previous prime is 42135631. The next prime is 42135647. The reversal of 42135640 is 4653124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11019 + ... + 14341.

Almost surely, 242135640 is an apocalyptic number.

42135640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42135640 is an abundant number, since it is smaller than the sum of its proper divisors (52997240).

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

42135640 is a wasteful number, since it uses less digits than its factorization.

42135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 42135640 is about 6491.1971160950. The cubic root of 42135640 is about 347.9764594108.

Adding to 42135640 its reverse (4653124), we get a palindrome (46788764).

The spelling of 42135640 in words is "forty-two million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2536 3170 3323 6340 6646 12680 13292 16615 26584 33230 66460 132920 1053391 2106782 4213564 5266955 8427128 10533910 21067820 42135640