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86994810 = 2345767229
BaseRepresentation
bin1010010111101…
…10111101111010
320001200210110000
411023312331322
5134232313220
612344333430
72104305120
oct513667572
9201623400
1086994810
1145119541
1225174276
131503c126
14b7a7910
157986390
hex52f6f7a

86994810 has 160 divisors (see below), whose sum is σ = 272511360. Its totient is φ = 19502208.

The previous prime is 86994779. The next prime is 86994833. The reversal of 86994810 is 1849968.

86994810 is a `hidden beast` number, since 86 + 99 + 481 + 0 = 666.

It is a super-2 number, since 2×869948102 = 15136193933872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 379776 + ... + 380004.

It is an arithmetic number, because the mean of its divisors is an integer number (1703196).

Almost surely, 286994810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86994810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136255680).

86994810 is an abundant number, since it is smaller than the sum of its proper divisors (185516550).

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

86994810 is a wasteful number, since it uses less digits than its factorization.

86994810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 86994810 is about 9327.1008357367. The cubic root of 86994810 is about 443.0959508305.

The spelling of 86994810 in words is "eighty-six million, nine hundred ninety-four thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 81 90 105 126 134 135 162 189 201 210 229 270 315 335 378 402 405 458 469 567 603 630 670 687 810 938 945 1005 1134 1145 1206 1374 1407 1603 1809 1890 2010 2061 2290 2345 2814 2835 3015 3206 3435 3618 4122 4221 4690 4809 5427 5670 6030 6183 6870 7035 8015 8442 9045 9618 10305 10854 12366 12663 14070 14427 15343 16030 18090 18549 20610 21105 24045 25326 27135 28854 30686 30915 37098 37989 42210 43281 46029 48090 54270 61830 63315 72135 75978 76715 86562 92058 92745 107401 126630 129843 138087 144270 153430 185490 189945 214802 216405 230145 259686 276174 322203 379890 414261 432810 460290 537005 644406 649215 690435 828522 966609 1074010 1242783 1298430 1380870 1611015 1933218 2071305 2485566 2899827 3222030 4142610 4833045 5799654 6213915 8699481 9666090 12427830 14499135 17398962 28998270 43497405 86994810