Search a number
-
+
200054140 = 225112136359
BaseRepresentation
bin10111110110010…
…01010101111100
3111221102210200121
423323021111330
5402203213030
631503504324
74646301136
oct1373112574
9457383617
10200054140
11a2a1a700
1256bb80a4
13325a5b40
141c7d8056
151286a47a
hexbec957c

200054140 has 72 divisors (see below), whose sum is σ = 497377440. Its totient is φ = 67140480.

The previous prime is 200054123. The next prime is 200054167. The reversal of 200054140 is 41450002.

It is a super-2 number, since 2×2000541402 = 80043317862279200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28281 + ... + 34639.

It is an arithmetic number, because the mean of its divisors is an integer number (6908020).

Almost surely, 2200054140 is an apocalyptic number.

200054140 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 200054140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248688720).

200054140 is an abundant number, since it is smaller than the sum of its proper divisors (297323300).

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

200054140 is a wasteful number, since it uses less digits than its factorization.

200054140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 200054140 is about 14144.0496322659. The cubic root of 200054140 is about 584.8563116552.

The spelling of 200054140 in words is "two hundred million, fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 6359 7865 12718 15730 25436 31460 31795 63590 69949 82667 127180 139898 165334 279796 330668 349745 413335 699490 769439 826670 909337 1398980 1538878 1653340 1818674 3077756 3637348 3847195 4546685 7694390 9093370 10002707 15388780 18186740 20005414 40010828 50013535 100027070 200054140