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42147720 = 2332547253
BaseRepresentation
bin1010000011000…
…1111110001000
32221022022210200
42200301332020
541242211340
64103212200
71021151436
oct240617610
987268720
1042147720
112187822a
1212147060
1389692a4
145851d56
153a78330
hex2831f88

42147720 has 144 divisors (see below), whose sum is σ = 142597260. Its totient is φ = 10792704.

The previous prime is 42147691. The next prime is 42147731. The reversal of 42147720 is 2774124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 79524 = 6486^2 + 282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 795214 + ... + 795266.

Almost surely, 242147720 is an apocalyptic number.

42147720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42147720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71298630).

42147720 is an abundant number, since it is smaller than the sum of its proper divisors (100449540).

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

42147720 is a wasteful number, since it uses less digits than its factorization.

42147720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 42147720 is about 6492.1275403368. The cubic root of 42147720 is about 348.0097103910.

The spelling of 42147720 in words is "forty-two million, one hundred forty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 53 60 72 90 94 106 120 141 159 180 188 212 235 265 282 318 360 376 423 424 470 477 530 564 636 705 795 846 940 954 1060 1128 1272 1410 1590 1692 1880 1908 2115 2120 2209 2385 2491 2820 3180 3384 3816 4230 4418 4770 4982 5640 6360 6627 7473 8460 8836 9540 9964 11045 12455 13254 14946 16920 17672 19080 19881 19928 22090 22419 24910 26508 29892 33135 37365 39762 44180 44838 49820 53016 59784 66270 74730 79524 88360 89676 99405 99640 112095 117077 132540 149460 159048 179352 198810 224190 234154 265080 298920 351231 397620 448380 468308 585385 702462 795240 896760 936616 1053693 1170770 1404924 1756155 2107386 2341540 2809848 3512310 4214772 4683080 5268465 7024620 8429544 10536930 14049240 21073860 42147720