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20489580 = 22325891279
BaseRepresentation
bin100111000101…
…0010101101100
31102112222102100
41032022111230
520221131310
62011055100
7336105246
oct116122554
942488370
1020489580
1110625141
126a41490
134325217
142a15096
151beaec0
hex138a56c

20489580 has 72 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 5398272.

The previous prime is 20489569. The next prime is 20489587. The reversal of 20489580 is 8598402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20489587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15381 + ... + 16659.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 220489580 is an apocalyptic number.

20489580 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 20489580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20489580 is an abundant number, since it is smaller than the sum of its proper divisors (42409620).

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

20489580 is a wasteful number, since it uses less digits than its factorization.

20489580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20489580 is about 4526.5417263072. The cubic root of 20489580 is about 273.6388051556.

It can be divided in two parts, 2048 and 9580, that added together give a triangular number (11628 = T152).

The spelling of 20489580 in words is "twenty million, four hundred eighty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1279 1335 1602 1780 2558 2670 3204 3837 4005 5116 5340 6395 7674 8010 11511 12790 15348 16020 19185 23022 25580 38370 46044 57555 76740 113831 115110 227662 230220 341493 455324 569155 682986 1024479 1138310 1365972 1707465 2048958 2276620 3414930 4097916 5122395 6829860 10244790 20489580