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85230390 = 23571941521
BaseRepresentation
bin1010001010010…
…00001100110110
312221101011010010
411011020030312
5133304333030
612242441050
72053306050
oct505101466
9187334103
1085230390
1144123943
1224663186
1314871cab
14b4688d0
1577386b0
hex5148336

85230390 has 128 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 17971200.

The previous prime is 85230361. The next prime is 85230419. The reversal of 85230390 is 9303258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85230361) and next prime (85230419).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 163330 + ... + 163850.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 285230390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85230390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126282240).

85230390 is an abundant number, since it is smaller than the sum of its proper divisors (167334090).

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

85230390 is a wasteful number, since it uses less digits than its factorization.

85230390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 85230390 is about 9232.0306541952. The cubic root of 85230390 is about 440.0798580948.

The spelling of 85230390 in words is "eighty-five million, two hundred thirty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 41 42 57 70 82 95 105 114 123 133 190 205 210 246 266 285 287 399 410 521 570 574 615 665 779 798 861 1042 1230 1330 1435 1558 1563 1722 1995 2337 2605 2870 3126 3647 3895 3990 4305 4674 5210 5453 7294 7790 7815 8610 9899 10906 10941 11685 15630 16359 18235 19798 21361 21882 23370 27265 29697 32718 36470 42722 49495 54530 54705 59394 64083 69293 81795 98990 106805 109410 128166 138586 148485 149527 163590 207879 213610 296970 299054 320415 346465 405859 415758 448581 640830 692930 747635 811718 897162 1039395 1217577 1495270 2029295 2078790 2242905 2435154 2841013 4058590 4485810 5682026 6087885 8523039 12175770 14205065 17046078 28410130 42615195 85230390