Search a number
-
+
206572128 = 2537307399
BaseRepresentation
bin11000101000000…
…00101001100000
3112101200221200120
430110000221200
5410340302003
632255320240
75055556050
oct1424005140
9471627616
10206572128
11a6671774
1259220080
1333a48839
141d613560
1513206853
hexc500a60

206572128 has 48 divisors (see below), whose sum is σ = 619718400. Its totient is φ = 59020416.

The previous prime is 206572087. The next prime is 206572139. The reversal of 206572128 is 821275602.

206572128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 153028 + ... + 154371.

It is an arithmetic number, because the mean of its divisors is an integer number (12910800).

Almost surely, 2206572128 is an apocalyptic number.

206572128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

206572128 is an abundant number, since it is smaller than the sum of its proper divisors (413146272).

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

206572128 is a wasteful number, since it uses less digits than its factorization.

206572128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307419 (or 307411 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 206572128 is about 14372.6172981820. The cubic root of 206572128 is about 591.1403092760.

The spelling of 206572128 in words is "two hundred six million, five hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 307399 614798 922197 1229596 1844394 2151793 2459192 3688788 4303586 4918384 6455379 7377576 8607172 9836768 12910758 14755152 17214344 25821516 29510304 34428688 51643032 68857376 103286064 206572128