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20980680 = 2335724977
BaseRepresentation
bin101000000001…
…0001111001000
31110110221002020
41100002033020
520332340210
62025404440
7343222110
oct120021710
943427066
1020980680
1110930106
127039720
134467906
142b02040
151c96770
hex14023c8

20980680 has 64 divisors (see below), whose sum is σ = 71936640. Its totient is φ = 4795392.

The previous prime is 20980651. The next prime is 20980681. The reversal of 20980680 is 8608902.

It is not an unprimeable number, because it can be changed into a prime (20980681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11649 + ... + 13328.

It is an arithmetic number, because the mean of its divisors is an integer number (1124010).

Almost surely, 220980680 is an apocalyptic number.

20980680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20980680 is an abundant number, since it is smaller than the sum of its proper divisors (50955960).

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

20980680 is a wasteful number, since it uses less digits than its factorization.

20980680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24998 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 20980680 is about 4580.4672250765. The cubic root of 20980680 is about 275.8077846706.

It can be divided in two parts, 20 and 980680, that added together give a triangular number (980700 = T1400).

The spelling of 20980680 in words is "twenty million, nine hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 24977 49954 74931 99908 124885 149862 174839 199816 249770 299724 349678 374655 499540 524517 599448 699356 749310 874195 999080 1049034 1398712 1498620 1748390 2098068 2622585 2997240 3496780 4196136 5245170 6993560 10490340 20980680