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20103120 = 2433541227
BaseRepresentation
bin100110010101…
…1111111010000
31101211100022000
41030223333100
520121244440
61554514000
7332605452
oct114537720
941740260
1020103120
1110390854
126895900
13421b34b
1429542d2
151b71730
hex132bfd0

20103120 has 160 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 5207040.

The previous prime is 20103113. The next prime is 20103137. The reversal of 20103120 is 2130102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 88447 + ... + 88673.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 220103120 is an apocalyptic number.

20103120 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 20103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

20103120 is an abundant number, since it is smaller than the sum of its proper divisors (51142320).

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

20103120 is a wasteful number, since it uses less digits than its factorization.

20103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20103120 is about 4483.6502985848. The cubic root of 20103120 is about 271.9074800672.

Adding to 20103120 its reverse (2130102), we get a palindrome (22233222).

The spelling of 20103120 in words is "twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 227 240 246 270 328 360 369 410 432 454 492 540 615 656 681 720 738 820 908 984 1080 1107 1135 1230 1362 1476 1640 1816 1845 1968 2043 2160 2214 2270 2460 2724 2952 3280 3405 3632 3690 4086 4428 4540 4920 5448 5535 5904 6129 6810 7380 8172 8856 9080 9307 9840 10215 10896 11070 12258 13620 14760 16344 17712 18160 18614 20430 22140 24516 27240 27921 29520 30645 32688 37228 40860 44280 46535 49032 54480 55842 61290 74456 81720 83763 88560 93070 98064 111684 122580 139605 148912 163440 167526 186140 223368 245160 251289 279210 335052 372280 418815 446736 490320 502578 558420 670104 744560 837630 1005156 1116840 1256445 1340208 1675260 2010312 2233680 2512890 3350520 4020624 5025780 6701040 10051560 20103120