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20054720 = 265721279
BaseRepresentation
bin100110010000…
…0001011000000
31101201212220102
41030200023000
520113222340
61553501532
7332314400
oct114401300
941655812
1020054720
1110358454
1268718a8
1342022ca
142940800
151b62215
hex13202c0

20054720 has 84 divisors (see below), whose sum is σ = 55595520. Its totient is φ = 6870528.

The previous prime is 20054719. The next prime is 20054743. The reversal of 20054720 is 2745002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20054692 and 20054701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15041 + ... + 16319.

Almost surely, 220054720 is an apocalyptic number.

20054720 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 20054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760).

20054720 is an abundant number, since it is smaller than the sum of its proper divisors (35540800).

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

20054720 is a wasteful number, since it uses less digits than its factorization.

20054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 20054720 is about 4478.2496580695. The cubic root of 20054720 is about 271.6890911186.

Adding to 20054720 its reverse (2745002), we get a palindrome (22799722).

The spelling of 20054720 in words is "twenty million, fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1279 1568 1960 2240 2558 3136 3920 5116 6395 7840 8953 10232 12790 15680 17906 20464 25580 35812 40928 44765 51160 62671 71624 81856 89530 102320 125342 143248 179060 204640 250684 286496 313355 358120 409280 501368 572992 626710 716240 1002736 1253420 1432480 2005472 2506840 2864960 4010944 5013680 10027360 20054720