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201140712 = 23338910463
BaseRepresentation
bin10111111110100…
…10100111101000
3112000111000012000
423333102213220
5402443000322
631543051000
74661445033
oct1377224750
9460430160
10201140712
11a35a1aa3
1257440a60
1332896596
141c9dc01a
15129d23ac
hexbfd29e8

201140712 has 64 divisors (see below), whose sum is σ = 565056000. Its totient is φ = 66287232.

The previous prime is 201140701. The next prime is 201140717. The reversal of 201140712 is 217041102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201140717) 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, 13993 + ... + 24455.

It is an arithmetic number, because the mean of its divisors is an integer number (8829000).

Almost surely, 2201140712 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 201140712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282528000).

201140712 is an abundant number, since it is smaller than the sum of its proper divisors (363915288).

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

201140712 is a wasteful number, since it uses less digits than its factorization.

201140712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 201140712 is about 14182.4085401599. The cubic root of 201140712 is about 585.9132612437.

Adding to 201140712 its reverse (217041102), we get a palindrome (418181814).

The spelling of 201140712 in words is "two hundred one million, one hundred forty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4806 6408 9612 10463 19224 20926 31389 41852 62778 83704 94167 125556 188334 251112 282501 376668 565002 753336 931207 1130004 1862414 2260008 2793621 3724828 5587242 7449656 8380863 11174484 16761726 22348968 25142589 33523452 50285178 67046904 100570356 201140712