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20170944 = 26351297
BaseRepresentation
bin100110011110…
…0100011000000
31101221210100000
41030330203000
520130432234
62000200000
7333310263
oct114744300
941853300
1020170944
1110427802
126909000
134243191
142970cda
151b86899
hex133c8c0

20170944 has 84 divisors (see below), whose sum is σ = 60003944. Its totient is φ = 6718464.

The previous prime is 20170933. The next prime is 20170949. The reversal of 20170944 is 44907102.

It is a happy number.

It is a super-2 number, since 2×201709442 = 813733963702272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20170949) 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, 14904 + ... + 16200.

Almost surely, 220170944 is an apocalyptic number.

20170944 is a gapful number since it is divisible by the number (24) 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 20170944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30001972).

20170944 is an abundant number, since it is smaller than the sum of its proper divisors (39833000).

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

20170944 is an equidigital number, since it uses as much as digits as its factorization.

20170944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20170944 is about 4491.2074100402. The cubic root of 20170944 is about 272.2129243959.

The spelling of 20170944 in words is "twenty million, one hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1297 1728 1944 2592 2594 3888 3891 5184 5188 7776 7782 10376 11673 15552 15564 20752 23346 31128 35019 41504 46692 62256 70038 83008 93384 105057 124512 140076 186768 210114 249024 280152 315171 373536 420228 560304 630342 747072 840456 1120608 1260684 1680912 2241216 2521368 3361824 5042736 6723648 10085472 20170944