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213270528 = 21434339
BaseRepresentation
bin11001011011001…
…00000000000000
3112212022021011110
430231210000000
5414044124103
633055043320
75166524652
oct1455440000
9485267143
10213270528
11aa427339
125b510540
13352526a3
14204786d2
1513acb403
hexcb64000

213270528 has 60 divisors (see below), whose sum is σ = 568835120. Its totient is φ = 71073792.

The previous prime is 213270517. The next prime is 213270529. The reversal of 213270528 is 825072312.

It is a super-2 number, since 2×2132705282 = 90968636226797568, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 213270495 and 213270504.

It is not an unprimeable number, because it can be changed into a prime (213270529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46983 + ... + 51321.

Almost surely, 2213270528 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 213270528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284417560).

213270528 is an abundant number, since it is smaller than the sum of its proper divisors (355564592).

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

213270528 is an frugal number, since it uses more digits than its factorization.

213270528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 213270528 is about 14603.7847149292. The cubic root of 213270528 is about 597.4619904277.

The spelling of 213270528 in words is "two hundred thirteen million, two hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4339 6144 8192 8678 12288 13017 16384 17356 24576 26034 34712 49152 52068 69424 104136 138848 208272 277696 416544 555392 833088 1110784 1666176 2221568 3332352 4443136 6664704 8886272 13329408 17772544 26658816 35545088 53317632 71090176 106635264 213270528