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20775072 = 25323972
BaseRepresentation
bin100111101000…
…0000010100000
31110002111001010
41033100002200
520304300242
62021140520
7341404503
oct117200240
943074033
1020775072
11107aa68a
126b5a740
1343c5156
142a8b13a
151c5589c
hex13d00a0

20775072 has 72 divisors (see below), whose sum is σ = 57498336. Its totient is φ = 6555648.

The previous prime is 20775061. The next prime is 20775077. The reversal of 20775072 is 27057702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20775077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214128 + ... + 214224.

It is an arithmetic number, because the mean of its divisors is an integer number (798588).

Almost surely, 220775072 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 20775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28749168).

20775072 is an abundant number, since it is smaller than the sum of its proper divisors (36723264).

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

20775072 is an equidigital number, since it uses as much as digits as its factorization.

20775072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 20775072 is about 4557.9679682946. The cubic root of 20775072 is about 274.9038650195.

The spelling of 20775072 in words is "twenty million, seven hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 97 138 184 194 276 291 368 388 552 582 736 776 1104 1164 1552 2208 2231 2328 3104 4462 4656 6693 8924 9312 9409 13386 17848 18818 26772 28227 35696 37636 53544 56454 71392 75272 107088 112908 150544 214176 216407 225816 301088 432814 451632 649221 865628 903264 1298442 1731256 2596884 3462512 5193768 6925024 10387536 20775072