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201132608 = 26231071277
BaseRepresentation
bin10111111110100…
…00101001000000
3112000110121001212
423333100221000
5402442220413
631542545252
74661412305
oct1377205100
9460417055
10201132608
11a35969a6
1257438228
13328929a1
141c9d90ac
15129ceca8
hexbfd0a40

201132608 has 56 divisors (see below), whose sum is σ = 420697152. Its totient is φ = 95220224.

The previous prime is 201132551. The next prime is 201132611. The reversal of 201132608 is 806231102.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156866 + ... + 158142.

Almost surely, 2201132608 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 201132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210348576).

201132608 is an abundant number, since it is smaller than the sum of its proper divisors (219564544).

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

201132608 is a wasteful number, since it uses less digits than its factorization.

201132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 201132608 is about 14182.1228312266. The cubic root of 201132608 is about 585.9053922834.

The spelling of 201132608 in words is "two hundred one million, one hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 107 184 214 368 428 736 856 1277 1472 1712 2461 2554 3424 4922 5108 6848 9844 10216 19688 20432 29371 39376 40864 58742 78752 81728 117484 136639 157504 234968 273278 469936 546556 939872 1093112 1879744 2186224 3142697 4372448 6285394 8744896 12570788 25141576 50283152 100566304 201132608