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20720880 = 2433553181
BaseRepresentation
bin100111100001…
…0110011110000
31102222201201000
41033002303300
520301032010
62020042000
7341060505
oct117026360
942881630
1020720880
11107729a4
126b33300
1343a659b
142a754ac
151c447c0
hex13c2cf0

20720880 has 160 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 5391360.

The previous prime is 20720789. The next prime is 20720893. The reversal of 20720880 is 8802702.

It is a super-5 number, since 5×207208805 (a number of 38 digits) contains 55555 as substring.

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, 114390 + ... + 114570.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 220720880 is an apocalyptic number.

20720880 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 20720880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

20720880 is an abundant number, since it is smaller than the sum of its proper divisors (52399440).

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

20720880 is a wasteful number, since it uses less digits than its factorization.

20720880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20720880 is about 4552.0193321206. The cubic root of 20720880 is about 274.6646269787.

The spelling of 20720880 in words is "twenty million, seven hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 181 212 216 240 265 270 318 360 362 424 432 477 530 540 543 636 720 724 795 848 905 954 1060 1080 1086 1272 1431 1448 1590 1629 1810 1908 2120 2160 2172 2385 2544 2715 2862 2896 3180 3258 3620 3816 4240 4344 4770 4887 5430 5724 6360 6516 7155 7240 7632 8145 8688 9540 9593 9774 10860 11448 12720 13032 14310 14480 16290 19080 19186 19548 21720 22896 24435 26064 28620 28779 32580 38160 38372 39096 43440 47965 48870 57240 57558 65160 76744 78192 86337 95930 97740 114480 115116 130320 143895 153488 172674 191860 195480 230232 259011 287790 345348 383720 390960 431685 460464 518022 575580 690696 767440 863370 1036044 1151160 1295055 1381392 1726740 2072088 2302320 2590110 3453480 4144176 5180220 6906960 10360440 20720880