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42870520 = 23571131449
BaseRepresentation
bin1010001110001…
…0011011111000
32222200001022001
42203202123320
541433324040
64130510344
71030251640
oct243423370
988601261
1042870520
1122221290
12124353b4
138b60294
14599d520
153b6c59a
hex28e26f8

42870520 has 128 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 12902400.

The previous prime is 42870493. The next prime is 42870547. The reversal of 42870520 is 2507824.

42870520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42870493) and next prime (42870547).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95256 + ... + 95704.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 242870520 is an apocalyptic number.

42870520 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 42870520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208000).

42870520 is an abundant number, since it is smaller than the sum of its proper divisors (81545480).

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

42870520 is a wasteful number, since it uses less digits than its factorization.

42870520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 42870520 is about 6547.5583235279. The cubic root of 42870520 is about 349.9878090992.

Adding to 42870520 its product of nonzero digits (4480), we get a cube (42875000 = 3503).

The spelling of 42870520 in words is "forty-two million, eight hundred seventy thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 88 110 124 140 154 155 217 220 248 280 308 310 341 385 434 440 449 616 620 682 770 868 898 1085 1240 1364 1540 1705 1736 1796 2170 2245 2387 2728 3080 3143 3410 3592 4340 4490 4774 4939 6286 6820 8680 8980 9548 9878 11935 12572 13640 13919 15715 17960 19096 19756 23870 24695 25144 27838 31430 34573 39512 47740 49390 55676 62860 69146 69595 95480 97433 98780 111352 125720 138292 139190 153109 172865 194866 197560 276584 278380 306218 345730 389732 487165 556760 612436 691460 765545 779464 974330 1071763 1224872 1382920 1531090 1948660 2143526 3062180 3897320 4287052 5358815 6124360 8574104 10717630 21435260 42870520