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200653140 = 223519117509
BaseRepresentation
bin10111111010110…
…11100101010100
3111222120020100210
423331123211110
5402331400030
631524405420
74654344402
oct1375334524
9458506323
10200653140
11a3299746
1257246870
133275568c
141c912472
1512937bb0
hexbf5b954

200653140 has 48 divisors (see below), whose sum is σ = 564802560. Its totient is φ = 53224320.

The previous prime is 200653121. The next prime is 200653147. The reversal of 200653140 is 41356002.

It is a happy number.

200653140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2006531404 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200653147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2706 + ... + 20214.

It is an arithmetic number, because the mean of its divisors is an integer number (11766720).

Almost surely, 2200653140 is an apocalyptic number.

200653140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200653140 is an abundant number, since it is smaller than the sum of its proper divisors (364149420).

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

200653140 is a wasteful number, since it uses less digits than its factorization.

200653140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17712 (or 17710 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 200653140 is about 14165.2087877306. The cubic root of 200653140 is about 585.4394535666.

The spelling of 200653140 in words is "two hundred million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 17509 35018 52527 70036 87545 105054 175090 210108 262635 350180 525270 1050540 3344219 6688438 10032657 13376876 16721095 20065314 33442190 40130628 50163285 66884380 100326570 200653140