Search a number
-
+
656065136 = 241919111299
BaseRepresentation
bin100111000110101…
…100001001110000
31200201111120011202
4213012230021300
52320423041021
6145033430332
722154314226
oct4706541160
91621446152
10656065136
113073714a1
1216386b3a8
13a5bc882c
14631bcb16
153c8e4a0b
hex271ac270

656065136 has 40 divisors (see below), whose sum is σ = 1345152000. Its totient is φ = 309113280.

The previous prime is 656065103. The next prime is 656065153. The reversal of 656065136 is 631560656.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 656065136.

It is a congruent number.

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, 52415 + ... + 63713.

It is an arithmetic number, because the mean of its divisors is an integer number (33628800).

Almost surely, 2656065136 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 656065136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672576000).

656065136 is an abundant number, since it is smaller than the sum of its proper divisors (689086864).

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

656065136 is a wasteful number, since it uses less digits than its factorization.

656065136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 656065136 is about 25613.7684849379. The cubic root of 656065136 is about 868.9250545501.

The spelling of 656065136 in words is "six hundred fifty-six million, sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 764 1528 3056 3629 7258 11299 14516 22598 29032 45196 58064 90392 180784 214681 429362 858724 1717448 2158109 3434896 4316218 8632436 17264872 34529744 41004071 82008142 164016284 328032568 656065136