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87107514 = 231319531109
BaseRepresentation
bin1010011000100…
…10011110111010
320001220112001020
411030102132322
5134244420024
612351003310
72105254524
oct514223672
9201815036
1087107514
114519618a
1225209536
131507b510
14b7d6a14
1579a9979
hex53127ba

87107514 has 64 divisors (see below), whose sum is σ = 201398400. Its totient is φ = 24890112.

The previous prime is 87107513. The next prime is 87107543. The reversal of 87107514 is 41570178.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87107513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77992 + ... + 79100.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 287107514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87107514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100699200).

87107514 is an abundant number, since it is smaller than the sum of its proper divisors (114290886).

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

87107514 is a wasteful number, since it uses less digits than its factorization.

87107514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199.

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 87107514 is about 9333.1406289630. The cubic root of 87107514 is about 443.2872156348.

The spelling of 87107514 in words is "eighty-seven million, one hundred seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 247 318 494 689 741 1007 1109 1378 1482 2014 2067 2218 3021 3327 4134 6042 6654 13091 14417 21071 26182 28834 39273 42142 43251 58777 63213 78546 86502 117554 126426 176331 273923 352662 547846 764101 821769 1116763 1528202 1643538 2233526 2292303 3350289 4584606 6700578 14517919 29035838 43553757 87107514