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20729088 = 28332999
BaseRepresentation
bin100111100010…
…0110100000000
31110000010222000
41033010310000
520301312323
62020144000
7341123442
oct117046400
943003860
1020729088
1110779086
126b38000
1343aa243
142a78492
151c46e43
hex13c4d00

20729088 has 72 divisors (see below), whose sum is σ = 61320000. Its totient is φ = 6907392.

The previous prime is 20729087. The next prime is 20729099. The reversal of 20729088 is 88092702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20729087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5413 + ... + 8411.

Almost surely, 220729088 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 20729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30660000).

20729088 is an abundant number, since it is smaller than the sum of its proper divisors (40590912).

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

20729088 is an equidigital number, since it uses as much as digits as its factorization.

20729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 20729088 is about 4552.9208207479. The cubic root of 20729088 is about 274.7008891073.

The spelling of 20729088 in words is "twenty million, seven hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2999 3456 5998 6912 8997 11996 17994 23992 26991 35988 47984 53982 71976 80973 95968 107964 143952 161946 191936 215928 287904 323892 383872 431856 575808 647784 767744 863712 1151616 1295568 1727424 2303232 2591136 3454848 5182272 6909696 10364544 20729088