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20238720 = 273583127
BaseRepresentation
bin100110100110…
…1000110000000
31102002020022020
41031031012000
520140114340
62001441440
7334012005
oct115150600
942066266
1020238720
1110473717
126940280
134267c98
14298b8ac
151b9b9d0
hex134d180

20238720 has 128 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 5289984.

The previous prime is 20238719. The next prime is 20238731. The reversal of 20238720 is 2783202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159297 + ... + 159423.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 220238720 is an apocalyptic number.

20238720 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 20238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

20238720 is an abundant number, since it is smaller than the sum of its proper divisors (45563520).

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

20238720 is a wasteful number, since it uses less digits than its factorization.

20238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20238720 is about 4498.7464920798. The cubic root of 20238720 is about 272.5174693511.

The spelling of 20238720 in words is "twenty million, two hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 127 128 160 166 192 240 249 254 320 332 381 384 415 480 498 508 635 640 664 762 830 960 996 1016 1245 1270 1328 1524 1660 1905 1920 1992 2032 2490 2540 2656 3048 3320 3810 3984 4064 4980 5080 5312 6096 6640 7620 7968 8128 9960 10160 10541 10624 12192 13280 15240 15936 16256 19920 20320 21082 24384 26560 30480 31623 31872 39840 40640 42164 48768 52705 53120 60960 63246 79680 81280 84328 105410 121920 126492 158115 159360 168656 210820 243840 252984 316230 337312 421640 505968 632460 674624 843280 1011936 1264920 1349248 1686560 2023872 2529840 3373120 4047744 5059680 6746240 10119360 20238720