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42730740 = 22345132029
BaseRepresentation
bin1010001100000…
…0010011110100
32222101221120000
42203000103310
541414340430
64123511300
71026130263
oct243002364
988357500
1042730740
1122136268
1212388530
138b11780
1459645da
153b40e60
hex28c04f4

42730740 has 120 divisors (see below), whose sum is σ = 144430440. Its totient is φ = 10513152.

The previous prime is 42730739. The next prime is 42730747. The reversal of 42730740 is 4703724.

It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 33802596 = 2988^2 + 5814^2 .

It is a super-2 number, since 2×427307402 = 3651832281895200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42730747) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20046 + ... + 22074.

It is an arithmetic number, because the mean of its divisors is an integer number (1203587).

Almost surely, 242730740 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 42730740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72215220).

42730740 is an abundant number, since it is smaller than the sum of its proper divisors (101699700).

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

42730740 is a wasteful number, since it uses less digits than its factorization.

42730740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 42730740 is about 6536.8754003729. The cubic root of 42730740 is about 349.6070146976.

The spelling of 42730740 in words is "forty-two million, seven hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2029 2106 2340 3510 4058 4212 5265 6087 7020 8116 10145 10530 12174 18261 20290 21060 24348 26377 30435 36522 40580 52754 54783 60870 73044 79131 91305 105508 109566 121740 131885 158262 164349 182610 219132 237393 263770 273915 316524 328698 365220 395655 474786 527540 547830 657396 712179 791310 821745 949572 1095660 1186965 1424358 1582620 1643490 2136537 2373930 2848716 3286980 3560895 4273074 4747860 7121790 8546148 10682685 14243580 21365370 42730740