Search a number
-
+
42701310 = 2335891777
BaseRepresentation
bin1010001011100…
…1000111111110
32222100110012000
42202321013332
541412420220
64123123130
71025645421
oct242710776
988313160
1042701310
1122116143
12123734a6
138b01262
1459579b8
153b37390
hex28b91fe

42701310 has 64 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 11252736.

The previous prime is 42701237. The next prime is 42701357. The reversal of 42701310 is 1310724.

It is a super-2 number, since 2×427013102 = 3646803751432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23142 + ... + 24918.

It is an arithmetic number, because the mean of its divisors is an integer number (1800225).

Almost surely, 242701310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42701310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

42701310 is an abundant number, since it is smaller than the sum of its proper divisors (72513090).

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

42701310 is a wasteful number, since it uses less digits than its factorization.

42701310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 42701310 is about 6534.6239371520. The cubic root of 42701310 is about 349.5267344946.

The spelling of 42701310 in words is "forty-two million, seven hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 178 267 270 445 534 801 890 1335 1602 1777 2403 2670 3554 4005 4806 5331 8010 8885 10662 12015 15993 17770 24030 26655 31986 47979 53310 79965 95958 158153 159930 239895 316306 474459 479790 790765 948918 1423377 1581530 2372295 2846754 4270131 4744590 7116885 8540262 14233770 21350655 42701310