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213604132 = 22727314929
BaseRepresentation
bin11001011101101…
…01011100100100
3112212221012210011
430232311130210
5414140313012
633110140004
75202414400
oct1456653444
9485835704
10213604132
11aa634a45
125b651604
133533b4a1
1420524100
1513b451a7
hexcbb5724

213604132 has 36 divisors (see below), whose sum is σ = 440823180. Its totient is φ = 90284544.

The previous prime is 213604121. The next prime is 213604159. The reversal of 213604132 is 231406312.

It can be written as a sum of positive squares in 2 ways, for example, as 155600676 + 58003456 = 12474^2 + 7616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6844 + ... + 21772.

Almost surely, 2213604132 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 213604132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220411590).

213604132 is an abundant number, since it is smaller than the sum of its proper divisors (227219048).

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

213604132 is a wasteful number, since it uses less digits than its factorization.

213604132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 213604132 is about 14615.2020854999. The cubic root of 213604132 is about 597.7733506467.

The spelling of 213604132 in words is "two hundred thirteen million, six hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 7154 14308 14929 29858 59716 104503 209006 418012 731521 1089817 1463042 2179634 2926084 4359268 7628719 15257438 30514876 53401033 106802066 213604132