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200791960 = 235311131433
BaseRepresentation
bin10111111011111…
…01011110011000
3111222211021210021
423331331132120
5402400320320
631531400224
74655463205
oct1375753630
9458737707
10200791960
11a3383a76
12572b3074
13327a3915
141c94acac
1512963daa
hexbf7d798

200791960 has 64 divisors (see below), whose sum is σ = 470810880. Its totient is φ = 76984320.

The previous prime is 200791951. The next prime is 200791973. The reversal of 200791960 is 69197002.

It is a super-2 number, since 2×2007919602 = 80634822401283200, 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139404 + ... + 140836.

It is an arithmetic number, because the mean of its divisors is an integer number (7356420).

Almost surely, 2200791960 is an apocalyptic number.

200791960 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 200791960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235405440).

200791960 is an abundant number, since it is smaller than the sum of its proper divisors (270018920).

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

200791960 is a wasteful number, since it uses less digits than its factorization.

200791960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 200791960 is about 14170.1079741828. The cubic root of 200791960 is about 585.5744327153.

The spelling of 200791960 in words is "two hundred million, seven hundred ninety-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 113 124 155 226 248 310 452 565 620 904 1130 1240 1433 2260 2866 3503 4520 5732 7006 7165 11464 14012 14330 17515 28024 28660 35030 44423 57320 70060 88846 140120 161929 177692 222115 323858 355384 444230 647716 809645 888460 1295432 1619290 1776920 3238580 5019799 6477160 10039598 20079196 25098995 40158392 50197990 100395980 200791960