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20780980 = 22511591601
BaseRepresentation
bin100111101000…
…1011110110100
31110002210010221
41033101132310
520304442410
62021224124
7341430643
oct117213664
943083127
1020780980
1110804070
126b62044
1343c7a4c
142a8d35a
151c574da
hex13d17b4

20780980 has 48 divisors (see below), whose sum is σ = 48444480. Its totient is φ = 7424000.

The previous prime is 20780957. The next prime is 20780999. The reversal of 20780980 is 8908702.

It is a happy number.

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, 12180 + ... + 13780.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 220780980 is an apocalyptic number.

20780980 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 20780980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222240).

20780980 is an abundant number, since it is smaller than the sum of its proper divisors (27663500).

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

20780980 is a wasteful number, since it uses less digits than its factorization.

20780980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 20780980 is about 4558.6160180476. The cubic root of 20780980 is about 274.9299215373.

The spelling of 20780980 in words is "twenty million, seven hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 1601 2596 3202 3245 6404 6490 8005 12980 16010 17611 32020 35222 70444 88055 94459 176110 188918 352220 377836 472295 944590 1039049 1889180 2078098 4156196 5195245 10390490 20780980