Search a number
-
+
200120949 = 3577
BaseRepresentation
bin10111110110110…
…01101001110101
3111221120012100000
423323121221311
5402212332244
631505141513
74650000000
oct1373315165
9457505300
10200120949
11a2a65916
125702a899
13325ca382
141c814537
1512880169
hexbed9a75

200120949 has 48 divisors (see below), whose sum is σ = 349731200. Its totient is φ = 114354828.

The previous prime is 200120929. The next prime is 200120981. The reversal of 200120949 is 949021002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 200120949 - 212 = 200116853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28588704 + ... + 28588710.

Almost surely, 2200120949 is an apocalyptic number.

It is an amenable number.

200120949 is a deficient number, since it is larger than the sum of its proper divisors (149610251).

200120949 is an frugal number, since it uses more digits than its factorization.

200120949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 200120949 is about 14146.4111703287. The cubic root of 200120949 is about 584.9214095608.

The spelling of 200120949 in words is "two hundred million, one hundred twenty thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 1029 1323 1701 2401 3087 3969 7203 9261 11907 16807 21609 27783 50421 64827 83349 117649 151263 194481 352947 453789 583443 823543 1058841 1361367 2470629 3176523 4084101 7411887 9529569 22235661 28588707 66706983 200120949