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20753920 = 29511267
BaseRepresentation
bin100111100101…
…0111000000000
31110001102000201
41033022320000
520303111140
62020454544
7341256025
oct117127000
943042021
1020753920
1110795800
126b4a454
1343b8635
142a8354c
151c4e49a
hex13cae00

20753920 has 120 divisors (see below), whose sum is σ = 55512072. Its totient is φ = 7434240.

The previous prime is 20753917. The next prime is 20753933. The reversal of 20753920 is 2935702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309727 + ... + 309793.

Almost surely, 220753920 is an apocalyptic number.

20753920 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 20753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27756036).

20753920 is an abundant number, since it is smaller than the sum of its proper divisors (34758152).

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

20753920 is an equidigital number, since it uses as much as digits as its factorization.

20753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 20753920 is about 4555.6470451518. The cubic root of 20753920 is about 274.8105361638.

It can be divided in two parts, 2075 and 3920, that added together give a palindrome (5995).

The spelling of 20753920 in words is "twenty million, seven hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 121 128 134 160 176 220 242 256 268 320 335 352 440 484 512 536 605 640 670 704 737 880 968 1072 1210 1280 1340 1408 1474 1760 1936 2144 2420 2560 2680 2816 2948 3520 3685 3872 4288 4840 5360 5632 5896 7040 7370 7744 8107 8576 9680 10720 11792 14080 14740 15488 16214 17152 19360 21440 23584 28160 29480 30976 32428 34304 38720 40535 42880 47168 58960 61952 64856 77440 81070 85760 94336 117920 129712 154880 162140 171520 188672 235840 259424 309760 324280 377344 471680 518848 648560 943360 1037696 1297120 1886720 2075392 2594240 4150784 5188480 10376960 20753920