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200132160 = 26351712263
BaseRepresentation
bin10111110110111…
…00011001000000
3111221120202201020
423323130121000
5402213212120
631505305440
74650044454
oct1373343100
9457522636
10200132160
11a2a73288
1257035280
13326024c7
141c818664
1512883640
hexbedc640

200132160 has 112 divisors (see below), whose sum is σ = 672852096. Its totient is φ = 50225152.

The previous prime is 200132159. The next prime is 200132209. The reversal of 200132160 is 61231002.

200132160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10189 + ... + 22451.

It is an arithmetic number, because the mean of its divisors is an integer number (6007608).

Almost surely, 2200132160 is an apocalyptic number.

200132160 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 200132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336426048).

200132160 is an abundant number, since it is smaller than the sum of its proper divisors (472719936).

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

200132160 is a wasteful number, since it uses less digits than its factorization.

200132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 200132160 is about 14146.8074136888. The cubic root of 200132160 is about 584.9323320079.

Adding to 200132160 its reverse (61231002), we get a palindrome (261363162).

The spelling of 200132160 in words is "two hundred million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 12263 16320 24526 36789 49052 61315 73578 98104 122630 147156 183945 196208 208471 245260 294312 367890 392416 416942 490520 588624 625413 735780 784832 833884 981040 1042355 1177248 1250826 1471560 1667768 1962080 2084710 2354496 2501652 2943120 3127065 3335536 3924160 4169420 5003304 5886240 6254130 6671072 8338840 10006608 11772480 12508260 13342144 16677680 20013216 25016520 33355360 40026432 50033040 66710720 100066080 200132160