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213980657 = 11372811871
BaseRepresentation
bin11001100000100…
…01010111110001
3112220122100021112
430300101113301
5414234340112
633122203105
75205543212
oct1460212761
9486570245
10213980657
11aa871920
125b7b3495
1335440997
14205c1409
1513bbba22
hexcc115f1

213980657 has 16 divisors (see below), whose sum is σ = 240724224. Its totient is φ = 188496000.

The previous prime is 213980629. The next prime is 213980671. The reversal of 213980657 is 756089312.

It is not a de Polignac number, because 213980657 - 28 = 213980401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213980617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 113432 + ... + 115302.

It is an arithmetic number, because the mean of its divisors is an integer number (15045264).

Almost surely, 2213980657 is an apocalyptic number.

It is an amenable number.

213980657 is a deficient number, since it is larger than the sum of its proper divisors (26743567).

213980657 is a wasteful number, since it uses less digits than its factorization.

213980657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 213980657 is about 14628.0776932583. The cubic root of 213980657 is about 598.1243808271.

The spelling of 213980657 in words is "two hundred thirteen million, nine hundred eighty thousand, six hundred fifty-seven".

Divisors: 1 11 37 281 407 1871 3091 10397 20581 69227 114367 525751 761497 5783261 19452787 213980657