Search a number
-
+
20481720 = 2335737659
BaseRepresentation
bin100111000100…
…0011010111000
31102112120122020
41032020122320
520220403340
62010554440
7336043320
oct116103270
942476566
1020481720
111061a246
126a38a20
13432177c
142a12280
151be89d0
hex13886b8

20481720 has 128 divisors (see below), whose sum is σ = 72230400. Its totient is φ = 4548096.

The previous prime is 20481709. The next prime is 20481733. The reversal of 20481720 is 2718402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30751 + ... + 31409.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 220481720 is an apocalyptic number.

20481720 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 20481720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36115200).

20481720 is an abundant number, since it is smaller than the sum of its proper divisors (51748680).

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

20481720 is a wasteful number, since it uses less digits than its factorization.

20481720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20481720 is about 4525.6734305515. The cubic root of 20481720 is about 273.6038105211.

The spelling of 20481720 in words is "twenty million, four hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 659 740 777 840 888 1036 1110 1295 1318 1480 1554 1977 2072 2220 2590 2636 3108 3295 3885 3954 4440 4613 5180 5272 6216 6590 7770 7908 9226 9885 10360 13180 13839 15540 15816 18452 19770 23065 24383 26360 27678 31080 36904 39540 46130 48766 55356 69195 73149 79080 92260 97532 110712 121915 138390 146298 170681 184520 195064 243830 276780 292596 341362 365745 487660 512043 553560 585192 682724 731490 853405 975320 1024086 1365448 1462980 1706810 2048172 2560215 2925960 3413620 4096344 5120430 6827240 10240860 20481720