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19945170 = 2335761173
BaseRepresentation
bin100110000010…
…1011011010010
31101112022122000
41030011123102
520101221140
61551254430
7331350120
oct114053322
941468560
1019945170
1110293113
12681a416
13419449b
142912910
151b3ea30
hex13056d2

19945170 has 128 divisors (see below), whose sum is σ = 62138880. Its totient is φ = 4458240.

The previous prime is 19945153. The next prime is 19945171. The reversal of 19945170 is 7154991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19945171) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 115204 + ... + 115376.

It is an arithmetic number, because the mean of its divisors is an integer number (485460).

Almost surely, 219945170 is an apocalyptic number.

19945170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19945170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31069440).

19945170 is an abundant number, since it is smaller than the sum of its proper divisors (42193710).

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

19945170 is a wasteful number, since it uses less digits than its factorization.

19945170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 19945170 is about 4466.0015673978. The cubic root of 19945170 is about 271.1934821051.

It can be divided in two parts, 199 and 45170, that added together give a square (45369 = 2132).

The spelling of 19945170 in words is "nineteen million, nine hundred forty-five thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 173 183 189 210 270 305 315 346 366 378 427 519 549 610 630 854 865 915 945 1038 1098 1211 1281 1557 1647 1730 1830 1890 2135 2422 2562 2595 2745 3114 3294 3633 3843 4270 4671 5190 5490 6055 6405 7266 7686 7785 8235 9342 10553 10899 11529 12110 12810 15570 16470 18165 19215 21106 21798 23058 23355 31659 32697 36330 38430 46710 52765 54495 57645 63318 65394 73871 94977 105530 108990 115290 147742 158295 163485 189954 221613 284931 316590 326970 369355 443226 474885 569862 664839 738710 949770 1108065 1329678 1424655 1994517 2216130 2849310 3324195 3989034 6648390 9972585 19945170