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20038980 = 223513231117
BaseRepresentation
bin100110001110…
…0010101000100
31101201002022110
41030130111010
520112221410
61553301020
7332220453
oct114342504
941632273
1020038980
1110347645
126864770
1341c80b0
142938b9a
151b5c720
hex131c544

20038980 has 96 divisors (see below), whose sum is σ = 63108864. Its totient is φ = 4713984.

The previous prime is 20038979. The next prime is 20038981. The reversal of 20038980 is 8983002.

It is an interprime number because it is at equal distance from previous prime (20038979) and next prime (20038981).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20038981) 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, 17382 + ... + 18498.

It is an arithmetic number, because the mean of its divisors is an integer number (657384).

Almost surely, 220038980 is an apocalyptic number.

20038980 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 20038980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31554432).

20038980 is an abundant number, since it is smaller than the sum of its proper divisors (43069884).

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

20038980 is a wasteful number, since it uses less digits than its factorization.

20038980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20038980 is about 4476.4919300720. The cubic root of 20038980 is about 271.6179938813.

The spelling of 20038980 in words is "twenty million, thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1117 1196 1380 1495 1794 2234 2990 3351 3588 4468 4485 5585 5980 6702 8970 11170 13404 14521 16755 17940 22340 25691 29042 33510 43563 51382 58084 67020 72605 77073 87126 102764 128455 145210 154146 174252 217815 256910 290420 308292 333983 385365 435630 513820 667966 770730 871260 1001949 1335932 1541460 1669915 2003898 3339830 4007796 5009745 6679660 10019490 20038980