Search a number
-
+
85399110 = 23451931179
BaseRepresentation
bin1010001011100…
…01011001000110
312221200201120000
411011301121012
5133330232420
612250222130
72054610666
oct505613106
9187621500
1085399110
1144229685
1224724946
1314900a24
14b4b01a6
15776d690
hex5171646

85399110 has 160 divisors (see below), whose sum is σ = 250905600. Its totient is φ = 20761920.

The previous prime is 85399081. The next prime is 85399121. The reversal of 85399110 is 1199358.

It is a happy number.

85399110 is a `hidden beast` number, since 8 + 539 + 9 + 110 = 666.

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, 477001 + ... + 477179.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 285399110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85399110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

85399110 is an abundant number, since it is smaller than the sum of its proper divisors (165506490).

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

85399110 is a wasteful number, since it uses less digits than its factorization.

85399110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 85399110 is about 9241.1638877362. The cubic root of 85399110 is about 440.3700571376.

The spelling of 85399110 in words is "eighty-five million, three hundred ninety-nine thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 31 38 45 54 57 62 81 90 93 95 114 135 155 162 171 179 186 190 270 279 285 310 342 358 405 465 513 537 558 570 589 810 837 855 895 930 1026 1074 1178 1395 1539 1611 1674 1710 1767 1790 2511 2565 2685 2790 2945 3078 3222 3401 3534 4185 4833 5022 5130 5301 5370 5549 5890 6802 7695 8055 8370 8835 9666 10203 10602 11098 12555 14499 15390 15903 16110 16647 17005 17670 20406 24165 25110 26505 27745 28998 30609 31806 33294 34010 47709 48330 49941 51015 53010 55490 61218 72495 79515 83235 91827 95418 99882 102030 105431 144990 149823 153045 159030 166470 183654 210862 238545 249705 275481 299646 306090 316293 449469 459135 477090 499410 527155 550962 632586 749115 898938 918270 948879 1054310 1377405 1498230 1581465 1897758 2247345 2754810 2846637 3162930 4494690 4744395 5693274 8539911 9488790 14233185 17079822 28466370 42699555 85399110