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35042040 = 23325118849
BaseRepresentation
bin1000010110101…
…1001011111000
32102221022122100
42011223023320
532432321130
63251023400
7603565245
oct205531370
972838570
1035042040
1118864670
12b89ab60
13734bc47
1449225cc
153122c60
hex216b2f8

35042040 has 96 divisors (see below), whose sum is σ = 124254000. Its totient is φ = 8494080.

The previous prime is 35042027. The next prime is 35042069. The reversal of 35042040 is 4024053.

It is a happy number.

35042040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465 + ... + 8384.

Almost surely, 235042040 is an apocalyptic number.

35042040 is a gapful number since it is divisible by the number (30) 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 35042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62127000).

35042040 is an abundant number, since it is smaller than the sum of its proper divisors (89211960).

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

35042040 is a wasteful number, since it uses less digits than its factorization.

35042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 35042040 is about 5919.6317453031. The cubic root of 35042040 is about 327.2375458815.

Adding to 35042040 its reverse (4024053), we get a palindrome (39066093).

The spelling of 35042040 in words is "thirty-five million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 8849 17698 26547 35396 44245 53094 70792 79641 88490 97339 106188 132735 159282 176980 194678 212376 265470 292017 318564 353960 389356 398205 486695 530940 584034 637128 778712 796410 876051 973390 1061880 1168068 1460085 1592820 1752102 1946780 2336136 2920170 3185640 3504204 3893560 4380255 5840340 7008408 8760510 11680680 17521020 35042040