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201328032 = 25367113277
BaseRepresentation
bin11000000000000…
…00010110100000
3112000211112010210
430000000112200
5403014444112
631551054120
74663155123
oct1400002640
9460745123
10201328032
11a370a804
1257511340
1332930919
141ca4a3ba
1512a1cb3c
hexc0005a0

201328032 has 96 divisors (see below), whose sum is σ = 543074112. Its totient is φ = 65286144.

The previous prime is 201328013. The next prime is 201328033. The reversal of 201328032 is 230823102.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (201328033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726678 + ... + 726954.

It is an arithmetic number, because the mean of its divisors is an integer number (5657022).

Almost surely, 2201328032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201328032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271537056).

201328032 is an abundant number, since it is smaller than the sum of its proper divisors (341746080).

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

201328032 is a wasteful number, since it uses less digits than its factorization.

201328032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 201328032 is about 14189.0109591895. The cubic root of 201328032 is about 586.0950895402.

The spelling of 201328032 in words is "two hundred one million, three hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 113 134 201 226 268 277 339 402 452 536 554 678 804 831 904 1072 1108 1356 1608 1662 1808 2144 2216 2712 3216 3324 3616 4432 5424 6432 6648 7571 8864 10848 13296 15142 18559 22713 26592 30284 31301 37118 45426 55677 60568 62602 74236 90852 93903 111354 121136 125204 148472 181704 187806 222708 242272 250408 296944 363408 375612 445416 500816 593888 726816 751224 890832 1001632 1502448 1781664 2097167 3004896 4194334 6291501 8388668 12583002 16777336 25166004 33554672 50332008 67109344 100664016 201328032