Search a number
-
+
84271590 = 23451353151
BaseRepresentation
bin1010000010111…
…10000111100110
312212120102220000
411001132013212
5133033142330
612210122130
72042203524
oct501360746
9185512800
1084271590
1143629547
1224280346
13145c7760
14b299314
1575e9560
hex505e1e6

84271590 has 160 divisors (see below), whose sum is σ = 250278336. Its totient is φ = 20217600.

The previous prime is 84271571. The next prime is 84271633. The reversal of 84271590 is 9517248.

It is a super-2 number, since 2×842715902 = 14203401762256200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 558015 + ... + 558165.

Almost surely, 284271590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84271590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

84271590 is an abundant number, since it is smaller than the sum of its proper divisors (166006746).

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

84271590 is a wasteful number, since it uses less digits than its factorization.

84271590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

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

The square root of 84271590 is about 9179.9558822469. The cubic root of 84271590 is about 438.4234036725.

The spelling of 84271590 in words is "eighty-four million, two hundred seventy-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 53 54 65 78 81 90 106 117 130 135 151 159 162 195 234 265 270 302 318 351 390 405 453 477 530 585 689 702 755 795 810 906 954 1053 1170 1359 1378 1431 1510 1590 1755 1963 2067 2106 2265 2385 2718 2862 3445 3510 3926 4077 4134 4293 4530 4770 5265 5889 6201 6795 6890 7155 8003 8154 8586 9815 10335 10530 11778 12231 12402 13590 14310 16006 17667 18603 19630 20385 20670 21465 24009 24462 29445 31005 35334 37206 40015 40770 42930 48018 53001 55809 58890 61155 62010 72027 80030 88335 93015 104039 106002 111618 120045 122310 144054 159003 176670 186030 208078 216081 240090 265005 279045 312117 318006 360135 432162 520195 530010 558090 624234 648243 720270 795015 936351 1040390 1080405 1296486 1560585 1590030 1872702 2160810 2809053 3121170 3241215 4681755 5618106 6482430 8427159 9363510 14045265 16854318 28090530 42135795 84271590