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42131740 = 22571947337
BaseRepresentation
bin1010000010111…
…0000100011100
32221021111212211
42200232010130
541241203430
64103010204
71021054030
oct240560434
987244784
1042131740
1121867222
1212139964
138961c31
14584a1c0
153a7372a
hex282e11c

42131740 has 96 divisors (see below), whose sum is σ = 109025280. Its totient is φ = 13353984.

The previous prime is 42131737. The next prime is 42131743. The reversal of 42131740 is 4713124.

It is an interprime number because it is at equal distance from previous prime (42131737) and next prime (42131743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124852 + ... + 125188.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 242131740 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 42131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54512640).

42131740 is an abundant number, since it is smaller than the sum of its proper divisors (66893540).

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

42131740 is a wasteful number, since it uses less digits than its factorization.

42131740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 42131740 is about 6490.8967023055. The cubic root of 42131740 is about 347.9657230519.

Adding to 42131740 its reverse (4713124), we get a palindrome (46844864).

The spelling of 42131740 in words is "forty-two million, one hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 47 70 76 94 95 133 140 188 190 235 266 329 337 380 470 532 658 665 674 893 940 1316 1330 1348 1645 1685 1786 2359 2660 3290 3370 3572 4465 4718 6251 6403 6580 6740 8930 9436 11795 12502 12806 15839 17860 23590 25004 25612 31255 31678 32015 44821 47180 62510 63356 64030 79195 89642 110873 125020 128060 158390 179284 221746 224105 300941 316780 443492 448210 554365 601882 896420 1108730 1203764 1504705 2106587 2217460 3009410 4213174 6018820 8426348 10532935 21065870 42131740