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87132012 = 223112772383
BaseRepresentation
bin1010011000110…
…00011101101100
320001221202122120
411030120131230
5134301211022
612351312540
72105416122
oct514303554
9201852576
1087132012
1145202630
122521b750
1315089706
14b801912
1579b1d5c
hex531876c

87132012 has 48 divisors (see below), whose sum is σ = 222684672. Its totient is φ = 26297280.

The previous prime is 87132007. The next prime is 87132013. The reversal of 87132012 is 21023178.

It is not an unprimeable number, because it can be changed into a prime (87132013) 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, 35373 + ... + 37755.

It is an arithmetic number, because the mean of its divisors is an integer number (4639264).

Almost surely, 287132012 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 87132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111342336).

87132012 is an abundant number, since it is smaller than the sum of its proper divisors (135552660).

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

87132012 is a wasteful number, since it uses less digits than its factorization.

87132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 87132012 is about 9334.4529566547. The cubic root of 87132012 is about 443.3287682396.

The spelling of 87132012 in words is "eighty-seven million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 277 554 831 1108 1662 2383 3047 3324 4766 6094 7149 9141 9532 12188 14298 18282 26213 28596 36564 52426 78639 104852 157278 314556 660091 1320182 1980273 2640364 3960546 7261001 7921092 14522002 21783003 29044004 43566006 87132012