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20739000 = 2335331223
BaseRepresentation
bin100111100011…
…1001110111000
31110000122120010
41033013032320
520302122000
62020301520
7341164362
oct117071670
943018503
1020739000
1110785577
126b418a0
1343b18c9
142a7bd32
151c49d50
hex13c73b8

20739000 has 128 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 5328000.

The previous prime is 20738999. The next prime is 20739023. The reversal of 20739000 is 93702.

It is a super-2 number, since 2×207390002 = 860212242000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92889 + ... + 93111.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 220739000 is an apocalyptic number.

20739000 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 20739000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

20739000 is an abundant number, since it is smaller than the sum of its proper divisors (46353480).

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

20739000 is a wasteful number, since it uses less digits than its factorization.

20739000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 20739000 is about 4554.0092226521. The cubic root of 20739000 is about 274.7446665814.

The spelling of 20739000 in words is "twenty million, seven hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 223 248 250 300 310 372 375 446 465 500 600 620 669 744 750 775 892 930 1000 1115 1240 1338 1500 1550 1784 1860 2230 2325 2676 3000 3100 3345 3720 3875 4460 4650 5352 5575 6200 6690 6913 7750 8920 9300 11150 11625 13380 13826 15500 16725 18600 20739 22300 23250 26760 27652 27875 31000 33450 34565 41478 44600 46500 55304 55750 66900 69130 82956 83625 93000 103695 111500 133800 138260 165912 167250 172825 207390 223000 276520 334500 345650 414780 518475 669000 691300 829560 864125 1036950 1382600 1728250 2073900 2592375 3456500 4147800 5184750 6913000 10369500 20739000