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213098528 = 2519463757
BaseRepresentation
bin11001011001110…
…10000000100000
3112211222112020002
430230322000200
5414023123103
633051235132
75165210336
oct1454720040
9484875202
10213098528
11aa31a095
125b448aa8
13351c2306
1420431b56
1513a95488
hexcb3a020

213098528 has 48 divisors (see below), whose sum is σ = 443157120. Its totient is φ = 100590336.

The previous prime is 213098521. The next prime is 213098533. The reversal of 213098528 is 825890312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213098491 and 213098500.

It is not an unprimeable number, because it can be changed into a prime (213098521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281126 + ... + 281882.

It is an arithmetic number, because the mean of its divisors is an integer number (9232440).

Almost surely, 2213098528 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 213098528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221578560).

213098528 is an abundant number, since it is smaller than the sum of its proper divisors (230058592).

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

213098528 is a wasteful number, since it uses less digits than its factorization.

213098528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 213098528 is about 14597.8946427216. The cubic root of 213098528 is about 597.3013320353.

The spelling of 213098528 in words is "two hundred thirteen million, ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 463 608 757 926 1514 1852 3028 3704 6056 7408 8797 12112 14383 14816 17594 24224 28766 35188 57532 70376 115064 140752 230128 281504 350491 460256 700982 1401964 2803928 5607856 6659329 11215712 13318658 26637316 53274632 106549264 213098528