Search a number
-
+
201668960 = 2551774143
BaseRepresentation
bin11000000010100…
…11100101100000
3112001110211210202
430001103211200
5403111401320
632002244332
74666105103
oct1401234540
9461424722
10201668960
11a3922969
12576566a8
1332a1cb5c
141cad873a
1512a88b75
hexc053960

201668960 has 48 divisors (see below), whose sum is σ = 504475776. Its totient is φ = 75921408.

The previous prime is 201668959. The next prime is 201668993. The reversal of 201668960 is 69866102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34352 + ... + 39791.

It is an arithmetic number, because the mean of its divisors is an integer number (10509912).

Almost surely, 2201668960 is an apocalyptic number.

201668960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201668960 is an abundant number, since it is smaller than the sum of its proper divisors (302806816).

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

201668960 is a wasteful number, since it uses less digits than its factorization.

201668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74175 (or 74167 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 201668960 is about 14201.0196816989. The cubic root of 201668960 is about 586.4257332520.

The spelling of 201668960 in words is "two hundred one million, six hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 74143 148286 296572 370715 593144 741430 1186288 1260431 1482860 2372576 2520862 2965720 5041724 5931440 6302155 10083448 11862880 12604310 20166896 25208620 40333792 50417240 100834480 201668960