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87769060 = 22531532671
BaseRepresentation
bin1010011101100…
…11111111100100
320010011010111221
411032303333210
5134432102220
612413110124
72114011321
oct516637744
9203133457
1087769060
11455a8215
1225488344
1315250672
14b929b48
157a8a9aa
hex53b3fe4

87769060 has 48 divisors (see below), whose sum is σ = 193923072. Its totient is φ = 33321600.

The previous prime is 87769043. The next prime is 87769093. The reversal of 87769060 is 6096778.

It is a junction number, because it is equal to n+sod(n) for n = 87768998 and 87769016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31525 + ... + 34195.

It is an arithmetic number, because the mean of its divisors is an integer number (4040064).

Almost surely, 287769060 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 87769060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96961536).

87769060 is an abundant number, since it is smaller than the sum of its proper divisors (106154012).

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

87769060 is a wasteful number, since it uses less digits than its factorization.

87769060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 87769060 is about 9368.5142898968. The cubic root of 87769060 is about 444.4065818208.

The spelling of 87769060 in words is "eighty-seven million, seven hundred sixty-nine thousand, sixty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1060 1643 2671 3286 5342 6572 8215 10684 13355 16430 26710 32860 53420 82801 141563 165602 283126 331204 414005 566252 707815 828010 1415630 1656020 2831260 4388453 8776906 17553812 21942265 43884530 87769060