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20729880 = 2332589647
BaseRepresentation
bin100111100010…
…1000000011000
31110000012001100
41033011000120
520301324010
62020151400
7341125653
oct117050030
943005040
1020729880
1110779736
126b38560
1343aa702
142a7889a
151c472c0
hex13c5018

20729880 has 96 divisors (see below), whose sum is σ = 68234400. Its totient is φ = 5457408.

The previous prime is 20729873. The next prime is 20729897. The reversal of 20729880 is 8892702.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31717 + ... + 32363.

It is an arithmetic number, because the mean of its divisors is an integer number (710775).

Almost surely, 220729880 is an apocalyptic number.

20729880 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 20729880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34117200).

20729880 is an abundant number, since it is smaller than the sum of its proper divisors (47504520).

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

20729880 is a wasteful number, since it uses less digits than its factorization.

20729880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 746 counting only the distinct ones).

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

The square root of 20729880 is about 4553.0077970502. The cubic root of 20729880 is about 274.7043875782.

It can be divided in two parts, 20729 and 880, that added together give a square (21609 = 1472).

The spelling of 20729880 in words is "twenty million, seven hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 647 712 801 890 1068 1294 1335 1602 1780 1941 2136 2588 2670 3204 3235 3560 3882 4005 5176 5340 5823 6408 6470 7764 8010 9705 10680 11646 12940 15528 16020 19410 23292 25880 29115 32040 38820 46584 57583 58230 77640 115166 116460 172749 230332 232920 287915 345498 460664 518247 575830 690996 863745 1036494 1151660 1381992 1727490 2072988 2303320 2591235 3454980 4145976 5182470 6909960 10364940 20729880