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532686640 = 24531347619
BaseRepresentation
bin11111110000000…
…010011100110000
31101010100021200211
4133300002130300
52042331433030
6124505153504
716125522163
oct3760023460
91333307624
10532686640
112537623a2
1212a48b894
138648abc5
1450a63ada
1531b7312a
hex1fc02730

532686640 has 80 divisors (see below), whose sum is σ = 1284203520. Its totient is φ = 205274880.

The previous prime is 532686631. The next prime is 532686643. The reversal of 532686640 is 46686235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 532686593 and 532686602.

It is not an unprimeable number, because it can be changed into a prime (532686643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860251 + ... + 860869.

It is an arithmetic number, because the mean of its divisors is an integer number (16052544).

Almost surely, 2532686640 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 532686640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642101760).

532686640 is an abundant number, since it is smaller than the sum of its proper divisors (751516880).

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

532686640 is a wasteful number, since it uses less digits than its factorization.

532686640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 532686640 is about 23080.0051993062. The cubic root of 532686640 is about 810.6323568817.

The spelling of 532686640 in words is "five hundred thirty-two million, six hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 347 496 619 620 694 1238 1240 1388 1735 2476 2480 2776 3095 3470 4952 5552 6190 6940 9904 10757 12380 13880 19189 21514 24760 27760 38378 43028 49520 53785 76756 86056 95945 107570 153512 172112 191890 214793 215140 307024 383780 429586 430280 767560 859172 860560 1073965 1535120 1718344 2147930 3436688 4295860 6658583 8591720 13317166 17183440 26634332 33292915 53268664 66585830 106537328 133171660 266343320 532686640