Search a number
-
+
87098928 = 2437536773
BaseRepresentation
bin1010011000100…
…00011000110000
320001220002021020
411030100120300
5134244131203
612350455440
72105220510
oct514203060
9201802236
1087098928
114518a794
1225204580
1315077637
14b7d3840
1579a7153
hex5310630

87098928 has 160 divisors (see below), whose sum is σ = 269554176. Its totient is φ = 23721984.

The previous prime is 87098923. The next prime is 87098969. The reversal of 87098928 is 82989078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87098923) 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, 1193100 + ... + 1193172.

Almost surely, 287098928 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 87098928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134777088).

87098928 is an abundant number, since it is smaller than the sum of its proper divisors (182455248).

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

87098928 is a wasteful number, since it uses less digits than its factorization.

87098928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 87098928 is about 9332.6806438450. The cubic root of 87098928 is about 443.2726505343.

The spelling of 87098928 in words is "eighty-seven million, ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 67 73 84 106 112 134 146 159 168 201 212 219 268 292 318 336 371 402 424 438 469 511 536 584 636 742 804 848 876 938 1022 1072 1113 1168 1272 1407 1484 1533 1608 1752 1876 2044 2226 2544 2814 2968 3066 3216 3504 3551 3752 3869 4088 4452 4891 5628 5936 6132 7102 7504 7738 8176 8904 9782 10653 11256 11607 12264 14204 14673 15476 17808 19564 21306 22512 23214 24528 24857 27083 28408 29346 30952 34237 39128 42612 46428 49714 54166 56816 58692 61904 68474 74571 78256 81249 85224 92856 99428 102711 108332 117384 136948 149142 162498 170448 185712 198856 205422 216664 234768 259223 273896 298284 324996 397712 410844 433328 518446 547792 596568 649992 777669 821688 1036892 1193136 1299984 1555338 1643376 1814561 2073784 3110676 3629122 4147568 5443683 6221352 7258244 10887366 12442704 14516488 21774732 29032976 43549464 87098928