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42686070 = 2357317983
BaseRepresentation
bin1010001011010…
…1011001110110
32222022200021120
42202311121312
541411423240
64122524410
71025553120
oct242653166
988280246
1042686070
1122105749
1212366706
138ac733b
145952210
153b32ad0
hex28b5676

42686070 has 128 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 9210240.

The previous prime is 42686047. The next prime is 42686071. The reversal of 42686070 is 7068624.

It is a super-3 number, since 3×426860703 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42686071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514249 + ... + 514331.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 242686070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42686070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

42686070 is an abundant number, since it is smaller than the sum of its proper divisors (81176970).

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

42686070 is a wasteful number, since it uses less digits than its factorization.

42686070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 42686070 is about 6533.4577369108. The cubic root of 42686070 is about 349.4851477824.

The spelling of 42686070 in words is "forty-two million, six hundred eighty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 79 83 93 105 155 158 166 186 210 217 237 249 310 395 415 434 465 474 498 553 581 651 790 830 930 1085 1106 1162 1185 1245 1302 1659 1743 2170 2370 2449 2490 2573 2765 2905 3255 3318 3486 4898 5146 5530 5810 6510 6557 7347 7719 8295 8715 12245 12865 13114 14694 15438 16590 17143 17430 18011 19671 24490 25730 32785 34286 36022 36735 38595 39342 45899 51429 54033 65570 73470 77190 85715 90055 91798 98355 102858 108066 137697 171430 180110 196710 203267 229495 257145 270165 275394 406534 458990 514290 540330 609801 688485 1016335 1219602 1376970 1422869 2032670 2845738 3049005 4268607 6098010 7114345 8537214 14228690 21343035 42686070