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90434190 = 23571123559
BaseRepresentation
bin1010110001111…
…10101010001110
320022011112101110
411120332222032
5141122343230
612550152450
72145451350
oct530765216
9208145343
1090434190
1147058600
1226352726
1315974772
14c0210d0
157e154b0
hex563ea8e

90434190 has 96 divisors (see below), whose sum is σ = 272724480. Its totient is φ = 18786240.

The previous prime is 90434189. The next prime is 90434213. The reversal of 90434190 is 9143409.

It is a super-2 number, since 2×904341902 = 16356685441912200, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23631 + ... + 27189.

It is an arithmetic number, because the mean of its divisors is an integer number (2840880).

Almost surely, 290434190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90434190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136362240).

90434190 is an abundant number, since it is smaller than the sum of its proper divisors (182290290).

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

90434190 is a wasteful number, since it uses less digits than its factorization.

90434190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90434190 is about 9509.6892693715. The cubic root of 90434190 is about 448.8599785276.

Adding to 90434190 its reverse (9143409), we get a palindrome (99577599).

The spelling of 90434190 in words is "ninety million, four hundred thirty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 1155 1210 1694 1815 2310 2541 3559 3630 4235 5082 7118 8470 10677 12705 17795 21354 24913 25410 35590 39149 49826 53385 74739 78298 106770 117447 124565 149478 195745 234894 249130 274043 373695 391490 430639 548086 587235 747390 822129 861278 1174470 1291917 1370215 1644258 2153195 2583834 2740430 3014473 4110645 4306390 6028946 6459585 8221290 9043419 12919170 15072365 18086838 30144730 45217095 90434190