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87053540 = 22571036037
BaseRepresentation
bin1010011000001…
…01010011100100
320001210210000012
411030011103210
5134241203130
612345505352
72104641260
oct514052344
9201723005
1087053540
1145159682
12251a2258
131505ca92
14b7c10a0
157998995
hex53054e4

87053540 has 48 divisors (see below), whose sum is σ = 210991872. Its totient is φ = 29552256.

The previous prime is 87053531. The next prime is 87053557. The reversal of 87053540 is 4535078.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87053497 and 87053506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11402 + ... + 17438.

It is an arithmetic number, because the mean of its divisors is an integer number (4395664).

Almost surely, 287053540 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 87053540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105495936).

87053540 is an abundant number, since it is smaller than the sum of its proper divisors (123938332).

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

87053540 is a wasteful number, since it uses less digits than its factorization.

87053540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 87053540 is about 9330.2486569223. The cubic root of 87053540 is about 443.1956394263.

The spelling of 87053540 in words is "eighty-seven million, fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 6037 7210 12074 14420 24148 30185 42259 60370 84518 120740 169036 211295 422590 621811 845180 1243622 2487244 3109055 4352677 6218110 8705354 12436220 17410708 21763385 43526770 87053540