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213987088 = 2471999601
BaseRepresentation
bin11001100000100…
…10111100010000
3112220122200002201
430300102330100
5414240041323
633122252544
75205601030
oct1460227420
9486580081
10213987088
11aa876737
125b7b7154
13354438a3
14205c38c0
1513bbd8ad
hexcc12f10

213987088 has 40 divisors (see below), whose sum is σ = 476259200. Its totient is φ = 91238400.

The previous prime is 213987073. The next prime is 213987089. The reversal of 213987088 is 880789312.

It is not an unprimeable number, because it can be changed into a prime (213987089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17488 + ... + 27088.

It is an arithmetic number, because the mean of its divisors is an integer number (11906480).

Almost surely, 2213987088 is an apocalyptic number.

213987088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213987088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238129600).

213987088 is an abundant number, since it is smaller than the sum of its proper divisors (262272112).

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

213987088 is a wasteful number, since it uses less digits than its factorization.

213987088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 213987088 is about 14628.2975085961. The cubic root of 213987088 is about 598.1303728007.

The spelling of 213987088 in words is "two hundred thirteen million, nine hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 398 796 1393 1592 2786 3184 5572 9601 11144 19202 22288 38404 67207 76808 134414 153616 268828 537656 1075312 1910599 3821198 7642396 13374193 15284792 26748386 30569584 53496772 106993544 213987088