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87134712 = 2337975347
BaseRepresentation
bin1010011000110…
…01000111111000
320001221220100120
411030121013320
5134301302322
612351333240
72105430030
oct514310770
9201856316
1087134712
1145204665
1225221220
131508aa02
14b8028c0
1579b2a5c
hex53191f8

87134712 has 64 divisors (see below), whose sum is σ = 251569920. Its totient is φ = 24634368.

The previous prime is 87134711. The next prime is 87134731. The reversal of 87134712 is 21743178.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87134711) 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, 13623 + ... + 18969.

It is an arithmetic number, because the mean of its divisors is an integer number (3930780).

Almost surely, 287134712 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 87134712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125784960).

87134712 is an abundant number, since it is smaller than the sum of its proper divisors (164435208).

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

87134712 is a wasteful number, since it uses less digits than its factorization.

87134712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5456 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 87134712 is about 9334.5975810423. The cubic root of 87134712 is about 443.3333474036. Note that the first 4 decimals are identical.

The spelling of 87134712 in words is "eighty-seven million, one hundred thirty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5347 5432 8148 10694 16041 16296 21388 32082 37429 42776 64164 74858 112287 128328 149716 224574 299432 449148 518659 898296 1037318 1555977 2074636 3111954 3630613 4149272 6223908 7261226 10891839 12447816 14522452 21783678 29044904 43567356 87134712