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20495160 = 2333572711
BaseRepresentation
bin100111000101…
…1101100111000
31102120021002000
41032023230320
520221321120
62011141000
7336130440
oct116135470
942507060
1020495160
1110629354
126a44760
13432791a
142a17120
151bec990
hex138bb38

20495160 has 128 divisors (see below), whose sum is σ = 78105600. Its totient is φ = 4682880.

The previous prime is 20495159. The next prime is 20495171. The reversal of 20495160 is 6159402.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6205 + ... + 8915.

It is an arithmetic number, because the mean of its divisors is an integer number (610200).

Almost surely, 220495160 is an apocalyptic number.

20495160 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 20495160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39052800).

20495160 is an abundant number, since it is smaller than the sum of its proper divisors (57610440).

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

20495160 is a wasteful number, since it uses less digits than its factorization.

20495160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2728 counting only the distinct ones).

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

The square root of 20495160 is about 4527.1580489309. The cubic root of 20495160 is about 273.6636432432.

The spelling of 20495160 in words is "twenty million, four hundred ninety-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 2711 3780 5422 7560 8133 10844 13555 16266 18977 21688 24399 27110 32532 37954 40665 48798 54220 56931 65064 73197 75908 81330 94885 97596 108440 113862 121995 146394 151816 162660 170793 189770 195192 227724 243990 284655 292788 325320 341586 365985 379540 455448 487980 512379 569310 585576 683172 731970 759080 853965 975960 1024758 1138620 1366344 1463940 1707930 2049516 2277240 2561895 2927880 3415860 4099032 5123790 6831720 10247580 20495160