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20954160 = 2433589109
BaseRepresentation
bin100111111101…
…1110000110000
31110102120201000
41033323300300
520331013120
62025042000
7343051563
oct117736060
943376630
1020954160
1110912197
127026300
134458816
142ad64da
151c8d990
hex13fbc30

20954160 has 160 divisors (see below), whose sum is σ = 73656000. Its totient is φ = 5474304.

The previous prime is 20954147. The next prime is 20954177. The reversal of 20954160 is 6145902.

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, 192186 + ... + 192294.

It is an arithmetic number, because the mean of its divisors is an integer number (460350).

Almost surely, 220954160 is an apocalyptic number.

20954160 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 20954160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000).

20954160 is an abundant number, since it is smaller than the sum of its proper divisors (52701840).

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

20954160 is a wasteful number, since it uses less digits than its factorization.

20954160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20954160 is about 4577.5714085091. The cubic root of 20954160 is about 275.6915268170.

The spelling of 20954160 in words is "twenty million, nine hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 89 90 108 109 120 135 144 178 180 216 218 240 267 270 327 356 360 432 436 445 534 540 545 654 712 720 801 872 890 981 1068 1080 1090 1308 1335 1424 1602 1635 1744 1780 1962 2136 2160 2180 2403 2616 2670 2943 3204 3270 3560 3924 4005 4272 4360 4806 4905 5232 5340 5886 6408 6540 7120 7848 8010 8720 9612 9701 9810 10680 11772 12015 12816 13080 14715 15696 16020 19224 19402 19620 21360 23544 24030 26160 29103 29430 32040 38448 38804 39240 47088 48060 48505 58206 58860 64080 77608 78480 87309 96120 97010 116412 117720 145515 155216 174618 192240 194020 232824 235440 261927 291030 349236 388040 436545 465648 523854 582060 698472 776080 873090 1047708 1164120 1309635 1396944 1746180 2095416 2328240 2619270 3492360 4190832 5238540 6984720 10477080 20954160