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87114924 = 2232131997101
BaseRepresentation
bin1010011000101…
…00010010101100
320001220220012200
411030110102230
5134300134144
612351101500
72105315241
oct514242254
9201826180
1087114924
11451a0806
1225211890
13150819c0
14b7d95c8
1579abc69
hex53144ac

87114924 has 144 divisors (see below), whose sum is σ = 254698080. Its totient is φ = 24883200.

The previous prime is 87114917. The next prime is 87114967. The reversal of 87114924 is 42941178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862474 + ... + 862574.

Almost surely, 287114924 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 87114924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127349040).

87114924 is an abundant number, since it is smaller than the sum of its proper divisors (167583156).

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

87114924 is a wasteful number, since it uses less digits than its factorization.

87114924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 87114924 is about 9333.5375930030. The cubic root of 87114924 is about 443.2997850255.

The spelling of 87114924 in words is "eighty-seven million, one hundred fourteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 97 101 114 117 156 171 194 202 228 234 247 291 303 342 388 404 468 494 582 606 684 741 873 909 988 1164 1212 1261 1313 1482 1746 1818 1843 1919 2223 2522 2626 2964 3492 3636 3686 3783 3838 3939 4446 5044 5252 5529 5757 7372 7566 7676 7878 8892 9797 11058 11349 11514 11817 15132 15756 16587 17271 19594 22116 22698 23028 23634 23959 24947 29391 33174 34542 39188 45396 47268 47918 49894 58782 66348 69084 71877 74841 88173 95836 99788 117564 127361 143754 149682 176346 186143 215631 224523 254722 287508 299364 352692 372286 382083 431262 449046 509444 558429 744572 764166 862524 898092 1116858 1146249 1528332 1675287 2233716 2292498 2419859 3350574 4584996 4839718 6701148 7259577 9679436 14519154 21778731 29038308 43557462 87114924