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20375712 = 253471123
BaseRepresentation
bin100110110111…
…0100010100000
31102100012020000
41031232202200
520204010322
62004420000
7335122260
oct115564240
942305200
1020375712
1110557635
1269a7600
1342b5446
1429c57a0
151bc73ac
hex136e8a0

20375712 has 120 divisors (see below), whose sum is σ = 68546016. Its totient is φ = 5816448.

The previous prime is 20375699. The next prime is 20375743. The reversal of 20375712 is 21757302.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 17583 + ... + 18705.

Almost surely, 220375712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20375712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34273008).

20375712 is an abundant number, since it is smaller than the sum of its proper divisors (48170304).

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

20375712 is a wasteful number, since it uses less digits than its factorization.

20375712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 20375712 is about 4513.9463886936. The cubic root of 20375712 is about 273.1309599909.

The spelling of 20375712 in words is "twenty million, three hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1123 1134 1296 1512 2016 2246 2268 2592 3024 3369 4492 4536 6048 6738 7861 8984 9072 10107 13476 15722 17968 18144 20214 23583 26952 30321 31444 35936 40428 47166 53904 60642 62888 70749 80856 90963 94332 107808 121284 125776 141498 161712 181926 188664 212247 242568 251552 282996 323424 363852 377328 424494 485136 565992 636741 727704 754656 848988 970272 1131984 1273482 1455408 1697976 2263968 2546964 2910816 3395952 5093928 6791904 10187856 20375712