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42070410 = 23251731887
BaseRepresentation
bin1010000001111…
…1000110001010
32221011101202100
42200133012022
541232223120
64101414230
71020410154
oct240370612
987141670
1042070410
1121825138
121210a376
138940045
145831ad4
153a60490
hex281f18a

42070410 has 96 divisors (see below), whose sum is σ = 119688192. Its totient is φ = 10206720.

The previous prime is 42070397. The next prime is 42070421. The reversal of 42070410 is 1407024.

It is a happy number.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46987 + ... + 47873.

It is an arithmetic number, because the mean of its divisors is an integer number (1246752).

Almost surely, 242070410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42070410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59844096).

42070410 is an abundant number, since it is smaller than the sum of its proper divisors (77617782).

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

42070410 is a wasteful number, since it uses less digits than its factorization.

42070410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42070410 is about 6486.1706730551. The cubic root of 42070410 is about 347.7967997238.

Adding to 42070410 its reverse (1407024), we get a palindrome (43477434).

The spelling of 42070410 in words is "forty-two million, seventy thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 887 930 1054 1395 1530 1581 1774 2635 2661 2790 3162 4435 4743 5270 5322 7905 7983 8870 9486 13305 15079 15810 15966 23715 26610 27497 30158 39915 45237 47430 54994 75395 79830 82491 90474 135711 137485 150790 164982 226185 247473 271422 274970 412455 452370 467449 494946 678555 824910 934898 1237365 1357110 1402347 2337245 2474730 2804694 4207041 4674490 7011735 8414082 14023470 21035205 42070410