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42131180 = 22572133307
BaseRepresentation
bin1010000010110…
…1111011101100
32221021111010002
42200231323230
541241144210
64103003432
71021052300
oct240557354
987244102
1042131180
1121866863
1212139578
1389618c0
145849d00
153a734a5
hex282deec

42131180 has 72 divisors (see below), whose sum is σ = 110870928. Its totient is φ = 13329792.

The previous prime is 42131161. The next prime is 42131183. The reversal of 42131180 is 8113124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42131183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11087 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (1539874).

Almost surely, 242131180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55435464).

42131180 is an abundant number, since it is smaller than the sum of its proper divisors (68739748).

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

42131180 is a wasteful number, since it uses less digits than its factorization.

42131180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 42131180 is about 6490.8535648249. The cubic root of 42131180 is about 347.9641813665.

The spelling of 42131180 in words is "forty-two million, one hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 3307 6370 6614 12740 13228 16535 23149 33070 42991 46298 66140 85982 92596 115745 162043 171964 214955 231490 300937 324086 429910 462980 601874 648172 810215 859820 1203748 1504685 1620430 2106559 3009370 3240860 4213118 6018740 8426236 10532795 21065590 42131180