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85369104 = 24321743811
BaseRepresentation
bin1010001011010…
…10000100010000
312221122012101200
411011222010100
5133323302404
612245431200
72054424342
oct505520420
9187565350
1085369104
1144209087
122470b500
13148c0182
14b4a3292
157764839
hex516a110

85369104 has 120 divisors (see below), whose sum is σ = 259170912. Its totient is φ = 26127360.

The previous prime is 85369091. The next prime is 85369129. The reversal of 85369104 is 40196358.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104859 + ... + 105669.

Almost surely, 285369104 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 85369104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129585456).

85369104 is an abundant number, since it is smaller than the sum of its proper divisors (173801808).

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

85369104 is a wasteful number, since it uses less digits than its factorization.

85369104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85369104 is about 9239.5402483024. The cubic root of 85369104 is about 440.3184746647.

The spelling of 85369104 in words is "eighty-five million, three hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 272 306 344 387 408 516 612 688 731 774 811 816 1032 1224 1462 1548 1622 2064 2193 2433 2448 2924 3096 3244 4386 4866 5848 6192 6488 6579 7299 8772 9732 11696 12976 13158 13787 14598 17544 19464 26316 27574 29196 34873 35088 38928 41361 52632 55148 58392 69746 82722 104619 105264 110296 116784 124083 139492 165444 209238 220592 248166 278984 313857 330888 418476 496332 557968 592841 627714 661776 836952 992664 1185682 1255428 1673904 1778523 1985328 2371364 2510856 3557046 4742728 5021712 5335569 7114092 9485456 10671138 14228184 21342276 28456368 42684552 85369104