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20395260 = 22335179211
BaseRepresentation
bin100110111001…
…1010011111100
31102101012001000
41031303103330
520210122020
62005050300
7335233254
oct115632374
942335030
1020395260
1110570296
1269b6990
1342c1302
1429cc964
151bcd090
hex13734fc

20395260 has 96 divisors (see below), whose sum is σ = 64108800. Its totient is φ = 5382720.

The previous prime is 20395231. The next prime is 20395283. The reversal of 20395260 is 6259302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96555 + ... + 96765.

It is an arithmetic number, because the mean of its divisors is an integer number (667800).

Almost surely, 220395260 is an apocalyptic number.

20395260 is a gapful number since it is divisible by the number (20) 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 20395260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32054400).

20395260 is an abundant number, since it is smaller than the sum of its proper divisors (43713540).

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

20395260 is a wasteful number, since it uses less digits than its factorization.

20395260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 20395260 is about 4516.1111589508. Note that the first 4 decimals coincide. The cubic root of 20395260 is about 273.2182773075.

The spelling of 20395260 in words is "twenty million, three hundred ninety-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 211 270 358 422 537 540 633 716 844 895 1055 1074 1266 1611 1790 1899 2110 2148 2532 2685 3165 3222 3580 3798 4220 4833 5370 5697 6330 6444 7596 8055 9495 9666 10740 11394 12660 16110 18990 19332 22788 24165 28485 32220 37769 37980 48330 56970 75538 96660 113307 113940 151076 188845 226614 339921 377690 453228 566535 679842 755380 1019763 1133070 1359684 1699605 2039526 2266140 3399210 4079052 5098815 6798420 10197630 20395260