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20095560 = 2333523809
BaseRepresentation
bin100110010101…
…0001001001000
31101210221221000
41030222021020
520121024220
61554415000
7332544432
oct114521110
941727830
1020095560
1110386101
126891460
134217a84
142951652
151b6e390
hex132a248

20095560 has 128 divisors (see below), whose sum is σ = 69984000. Its totient is φ = 5119488.

The previous prime is 20095553. The next prime is 20095561. The reversal of 20095560 is 6559002.

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

It is not an unprimeable number, because it can be changed into a prime (20095561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24436 + ... + 25244.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 220095560 is an apocalyptic number.

20095560 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 20095560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992000).

20095560 is an abundant number, since it is smaller than the sum of its proper divisors (49888440).

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

20095560 is a wasteful number, since it uses less digits than its factorization.

20095560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20095560 is about 4482.8071562359. The cubic root of 20095560 is about 271.8733911914.

It can be divided in two parts, 2009 and 5560, that added together give a square (7569 = 872).

The spelling of 20095560 in words is "twenty million, ninety-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 809 828 920 1035 1080 1242 1380 1618 1656 2070 2427 2484 2760 3105 3236 4045 4140 4854 4968 6210 6472 7281 8090 8280 9708 12135 12420 14562 16180 18607 19416 21843 24270 24840 29124 32360 36405 37214 43686 48540 55821 58248 72810 74428 87372 93035 97080 109215 111642 145620 148856 167463 174744 186070 218430 223284 279105 291240 334926 372140 436860 446568 502389 558210 669852 744280 837315 873720 1004778 1116420 1339704 1674630 2009556 2232840 2511945 3349260 4019112 5023890 6698520 10047780 20095560