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85914270 = 23451341199
BaseRepresentation
bin1010001111011…
…11001010011110
312222122220020000
411013233022132
5133443224040
612305235130
72062154631
oct507571236
9188586200
1085914270
1144550732
1224932aa6
1314a51360
14b5a5c18
157821130
hex51ef29e

85914270 has 160 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 20528640.

The previous prime is 85914253. The next prime is 85914271. The reversal of 85914270 is 7241958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85914271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 431631 + ... + 431829.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 285914270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85914270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

85914270 is an abundant number, since it is smaller than the sum of its proper divisors (170218530).

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

85914270 is a wasteful number, since it uses less digits than its factorization.

85914270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85914270 is about 9268.9950911628. The cubic root of 85914270 is about 441.2537759122.

It can be divided in two parts, 859 and 14270, that added together give a square (15129 = 1232).

The spelling of 85914270 in words is "eighty-five million, nine hundred fourteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 41 45 54 65 78 81 82 90 117 123 130 135 162 195 199 205 234 246 270 351 369 390 398 405 410 533 585 597 615 702 738 810 995 1053 1066 1107 1170 1194 1230 1599 1755 1791 1845 1990 2106 2214 2587 2665 2985 3198 3321 3510 3582 3690 4797 5174 5265 5330 5373 5535 5970 6642 7761 7995 8159 8955 9594 10530 10746 11070 12935 14391 15522 15990 16119 16318 16605 17910 23283 23985 24477 25870 26865 28782 32238 33210 38805 40795 43173 46566 47970 48954 53730 69849 71955 73431 77610 80595 81590 86346 106067 116415 122385 139698 143910 146862 161190 209547 212134 215865 220293 232830 244770 318201 349245 367155 419094 431730 440586 530335 636402 660879 698490 734310 954603 1047735 1060670 1101465 1321758 1591005 1909206 2095470 2202930 2863809 3182010 3304395 4773015 5727618 6608790 8591427 9546030 14319045 17182854 28638090 42957135 85914270