Search a number
-
+
20301034400 = 2552179141767
BaseRepresentation
bin10010111010000010…
…010011001110100000
31221101210222101210222
4102322002103032200
5313034031100100
613154241342212
71316035642133
oct227202231640
957353871728
1020301034400
11867844a689
123b26937968
131bb6b784ba
14da828821a
157dc3d1485
hex4ba0933a0

20301034400 has 72 divisors (see below), whose sum is σ = 49837122720. Its totient is φ = 8074991360.

The previous prime is 20301034379. The next prime is 20301034447. The reversal of 20301034400 is 443010302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72317 + ... + 214083.

It is an arithmetic number, because the mean of its divisors is an integer number (692182260).

Almost surely, 220301034400 is an apocalyptic number.

20301034400 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 20301034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918561360).

20301034400 is an abundant number, since it is smaller than the sum of its proper divisors (29536088320).

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

20301034400 is a wasteful number, since it uses less digits than its factorization.

20301034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141966 (or 141953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20301034400 its reverse (443010302), we get a palindrome (20744044702).

The spelling of 20301034400 in words is "twenty billion, three hundred one million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 179 200 358 400 716 800 895 1432 1790 2864 3580 4475 5728 7160 8950 14320 17900 28640 35800 71600 141767 143200 283534 567068 708835 1134136 1417670 2268272 2835340 3544175 4536544 5670680 7088350 11341360 14176700 22682720 25376293 28353400 50752586 56706800 101505172 113413600 126881465 203010344 253762930 406020688 507525860 634407325 812041376 1015051720 1268814650 2030103440 2537629300 4060206880 5075258600 10150517200 20301034400