Search a number
-
+
20075980 = 22517137431
BaseRepresentation
bin100110010010…
…1010111001100
31101202222001211
41030211113030
520114412410
61554144204
7332433361
oct114452714
941688054
1020075980
1110372421
126882064
13420bba2
142948468
151b6868a
hex13255cc

20075980 has 48 divisors (see below), whose sum is σ = 45069696. Its totient is φ = 7485440.

The previous prime is 20075971. The next prime is 20075981. The reversal of 20075980 is 8957002.

It is not an unprimeable number, because it can be changed into a prime (20075981) 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, 46365 + ... + 46795.

It is an arithmetic number, because the mean of its divisors is an integer number (938952).

Almost surely, 220075980 is an apocalyptic number.

20075980 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 20075980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534848).

20075980 is an abundant number, since it is smaller than the sum of its proper divisors (24993716).

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

20075980 is a wasteful number, since it uses less digits than its factorization.

20075980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 20075980 is about 4480.6227245775. The cubic root of 20075980 is about 271.7850630427.

The spelling of 20075980 in words is "twenty million, seventy-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 431 548 685 862 1370 1724 2155 2329 2740 4310 4658 7327 8620 9316 11645 14654 23290 29308 36635 46580 59047 73270 118094 146540 236188 295235 590470 1003799 1180940 2007598 4015196 5018995 10037990 20075980