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20395830 = 23571331241
BaseRepresentation
bin100110111001…
…1011100110110
31102101012211010
41031303130312
520210131310
62005053050
7335235030
oct115633466
942335733
1020395830
1110570764
1269b7186
1342c1650
1429ccc50
151bcd320
hex1373736

20395830 has 128 divisors (see below), whose sum is σ = 62447616. Its totient is φ = 4147200.

The previous prime is 20395811. The next prime is 20395841. The reversal of 20395830 is 3859302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84510 + ... + 84750.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 220395830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20395830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31223808).

20395830 is an abundant number, since it is smaller than the sum of its proper divisors (42051786).

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

20395830 is a wasteful number, since it uses less digits than its factorization.

20395830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 20395830 is about 4516.1742659025. The cubic root of 20395830 is about 273.2208225553.

The spelling of 20395830 in words is "twenty million, three hundred ninety-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 241 273 310 390 403 434 455 465 482 546 651 723 806 910 930 1085 1205 1209 1302 1365 1446 1687 2015 2170 2410 2418 2730 2821 3133 3255 3374 3615 4030 5061 5642 6045 6266 6510 7230 7471 8435 8463 9399 10122 12090 14105 14942 15665 16870 16926 18798 21931 22413 25305 28210 31330 37355 42315 43862 44826 46995 50610 52297 65793 74710 84630 93990 97123 104594 109655 112065 131586 156891 194246 219310 224130 261485 291369 313782 328965 485615 522970 582738 657930 679861 784455 971230 1359722 1456845 1568910 2039583 2913690 3399305 4079166 6798610 10197915 20395830