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42635340 = 223251161353
BaseRepresentation
bin1010001010100…
…1000001001100
32222020002200200
42202221001030
541403312330
64121453500
71025252166
oct242510114
988202620
1042635340
1122080620
1212341290
138aaa217
14593b936
153b22a60
hex28a904c

42635340 has 144 divisors (see below), whose sum is σ = 143803296. Its totient is φ = 10137600.

The previous prime is 42635339. The next prime is 42635381. The reversal of 42635340 is 4353624.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120604 + ... + 120956.

It is an arithmetic number, because the mean of its divisors is an integer number (998634).

Almost surely, 242635340 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 42635340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71901648).

42635340 is an abundant number, since it is smaller than the sum of its proper divisors (101167956).

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

42635340 is a wasteful number, since it uses less digits than its factorization.

42635340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42635340 is about 6529.5742587094. The cubic root of 42635340 is about 349.3466450683.

Adding to 42635340 its reverse (4353624), we get a palindrome (46988964).

The spelling of 42635340 in words is "forty-two million, six hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 353 366 396 495 549 610 660 671 706 732 915 990 1059 1098 1220 1342 1412 1765 1830 1980 2013 2118 2196 2684 2745 3177 3355 3530 3660 3883 4026 4236 5295 5490 6039 6354 6710 7060 7766 8052 10065 10590 10980 11649 12078 12708 13420 15532 15885 19415 20130 21180 21533 23298 24156 30195 31770 34947 38830 40260 43066 46596 58245 60390 63540 64599 69894 77660 86132 107665 116490 120780 129198 139788 174735 193797 215330 232980 236863 258396 322995 349470 387594 430660 473726 645990 698940 710589 775188 947452 968985 1184315 1291980 1421178 1937970 2131767 2368630 2842356 3552945 3875940 4263534 4737260 7105890 8527068 10658835 14211780 21317670 42635340