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20703480 = 233573503
BaseRepresentation
bin100111011111…
…0100011111000
31102221211211120
41032332203320
520300002410
62015425240
7340656000
oct116764370
942854746
1020703480
1110760916
126b25220
13439b6a5
142a6d000
151c3e570
hex13be8f8

20703480 has 128 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 4722816.

The previous prime is 20703479. The next prime is 20703481. The reversal of 20703480 is 8430702.

It is an interprime number because it is at equal distance from previous prime (20703479) and next prime (20703481).

It is a super-2 number, since 2×207034802 = 857268168220800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20703480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20703481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40909 + ... + 41411.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 220703480 is an apocalyptic number.

20703480 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 20703480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

20703480 is an abundant number, since it is smaller than the sum of its proper divisors (51872520).

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

20703480 is a wasteful number, since it uses less digits than its factorization.

20703480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

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

The square root of 20703480 is about 4550.1076910333. The cubic root of 20703480 is about 274.5877238280.

The spelling of 20703480 in words is "twenty million, seven hundred three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 503 588 686 735 840 980 1006 1029 1176 1372 1470 1509 1715 1960 2012 2058 2515 2744 2940 3018 3430 3521 4024 4116 5030 5145 5880 6036 6860 7042 7545 8232 10060 10290 10563 12072 13720 14084 15090 17605 20120 20580 21126 24647 28168 30180 35210 41160 42252 49294 52815 60360 70420 73941 84504 98588 105630 123235 140840 147882 172529 197176 211260 246470 295764 345058 369705 422520 492940 517587 591528 690116 739410 862645 985880 1035174 1380232 1478820 1725290 2070348 2587935 2957640 3450580 4140696 5175870 6901160 10351740 20703480