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200764420 = 2254326189
BaseRepresentation
bin10111111011101…
…10110000000100
3111222202220000021
423331312300010
5402343430140
631531024524
74655320003
oct1375666004
9458686007
10200764420
11a336530a
125729b144
133279421c
141c940c3a
151295ab4a
hexbf76c04

200764420 has 72 divisors (see below), whose sum is σ = 443643480. Its totient is φ = 76285440.

The previous prime is 200764411. The next prime is 200764423. The reversal of 200764420 is 24467002.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 196504324 = 2064^2 + 14018^2 .

It is not an unprimeable number, because it can be changed into a prime (200764423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2255736 + ... + 2255824.

It is an arithmetic number, because the mean of its divisors is an integer number (6161715).

Almost surely, 2200764420 is an apocalyptic number.

200764420 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 200764420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221821740).

200764420 is an abundant number, since it is smaller than the sum of its proper divisors (242879060).

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

200764420 is a wasteful number, since it uses less digits than its factorization.

200764420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 200764420 is about 14169.1361769164. The cubic root of 200764420 is about 585.5476596359.

The spelling of 200764420 in words is "two hundred million, seven hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 61 86 89 122 172 178 215 244 305 356 430 445 610 860 890 1220 1780 1849 2623 3698 3827 5246 5429 7396 7654 9245 10492 10858 13115 15308 18490 19135 21716 26230 27145 36980 38270 52460 54290 76540 108580 112789 164561 225578 233447 329122 451156 466894 563945 658244 822805 933788 1127890 1167235 1645610 2255780 2334470 3291220 4668940 10038221 20076442 40152884 50191105 100382210 200764420