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86988132 = 223272114483
BaseRepresentation
bin1010010111101…
…01010101100100
320001200110021200
411023311111210
5134232110012
612344242500
72104246500
oct513652544
9201613250
1086988132
1145114520
1225170430
131503908a
14b7a5300
1579843dc
hex52f5564

86988132 has 108 divisors (see below), whose sum is σ = 279102096. Its totient is φ = 22589280.

The previous prime is 86988131. The next prime is 86988149. The reversal of 86988132 is 23188968.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86988131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17163 + ... + 21645.

Almost surely, 286988132 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 86988132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139551048).

86988132 is an abundant number, since it is smaller than the sum of its proper divisors (192113964).

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

86988132 is a wasteful number, since it uses less digits than its factorization.

86988132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4506 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 86988132 is about 9326.7428398128. The cubic root of 86988132 is about 443.0846127193.

The spelling of 86988132 in words is "eighty-six million, nine hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4483 4851 6468 8966 9702 13449 17932 19404 26898 31381 40347 49313 53796 62762 80694 94143 98626 125524 147939 161388 188286 197252 219667 282429 295878 345191 376572 439334 443817 564858 591756 659001 690382 878668 887634 1035573 1129716 1318002 1380764 1775268 1977003 2071146 2416337 2636004 3106719 3954006 4142292 4832674 6213438 7249011 7908012 9665348 12426876 14498022 21747033 28996044 43494066 86988132