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23520132 = 2234229317
BaseRepresentation
bin101100110111…
…0001110000100
31122020221120000
41121232032010
522010121012
62200041300
7403626546
oct131561604
948227500
1023520132
1112305029
127a63230
134b4674c
1431a3696
1520e8ddc
hex166e384

23520132 has 60 divisors (see below), whose sum is σ = 61949580. Its totient is φ = 7781184.

The previous prime is 23520121. The next prime is 23520137. The reversal of 23520132 is 23102532.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 12068676 = 3384^2 + 3474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23520137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74038 + ... + 74354.

It is an arithmetic number, because the mean of its divisors is an integer number (1032493).

Almost surely, 223520132 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 23520132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30974790).

23520132 is an abundant number, since it is smaller than the sum of its proper divisors (38429448).

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

23520132 is a wasteful number, since it uses less digits than its factorization.

23520132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23520132 is about 4849.7558701444. The cubic root of 23520132 is about 286.5144862608.

Adding to 23520132 its reverse (23102532), we get a palindrome (46622664).

The spelling of 23520132 in words is "twenty-three million, five hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 317 324 458 634 687 916 951 1268 1374 1902 2061 2748 2853 3804 4122 5706 6183 8244 8559 11412 12366 17118 18549 24732 25677 34236 37098 51354 72593 74196 102708 145186 217779 290372 435558 653337 871116 1306674 1960011 2613348 3920022 5880033 7840044 11760066 23520132