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20755700 = 22527149199
BaseRepresentation
bin100111100101…
…1010011110100
31110001111110122
41033023103310
520303140300
62020511112
7341264150
oct117132364
943044418
1020755700
1110797079
126b4b498
1343b93a4
142a84060
151c4ec85
hex13cb4f4

20755700 has 72 divisors (see below), whose sum is σ = 52080000. Its totient is φ = 7032960.

The previous prime is 20755681. The next prime is 20755703. The reversal of 20755700 is 755702.

It is a self number, because there is not a number n which added to its sum of digits gives 20755700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20755703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104201 + ... + 104399.

Almost surely, 220755700 is an apocalyptic number.

20755700 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 20755700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040000).

20755700 is an abundant number, since it is smaller than the sum of its proper divisors (31324300).

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

20755700 is a wasteful number, since it uses less digits than its factorization.

20755700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 20755700 is about 4555.8424028932. The cubic root of 20755700 is about 274.8183924911.

The spelling of 20755700 in words is "twenty million, seven hundred fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 199 298 350 398 596 700 745 796 995 1043 1393 1490 1990 2086 2786 2980 3725 3980 4172 4975 5215 5572 6965 7450 9950 10430 13930 14900 19900 20860 26075 27860 29651 34825 52150 59302 69650 104300 118604 139300 148255 207557 296510 415114 593020 741275 830228 1037785 1482550 2075570 2965100 4151140 5188925 10377850 20755700