Search a number
-
+
90334530 = 232511137019
BaseRepresentation
bin1010110001001…
…10010101000010
320021222110200100
411120212111002
5141111201110
612544103230
72144554656
oct530462502
9207873610
1090334530
1146a9a740
1226304b16
131593b2b0
14bdd6a66
157de5bc0
hex5626542

90334530 has 96 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 20211840.

The previous prime is 90334523. The next prime is 90334553. The reversal of 90334530 is 3543309.

It is a junction number, because it is equal to n+sod(n) for n = 90334494 and 90334503.

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 47 ways as a sum of consecutive naturals, for example, 9361 + ... + 16379.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 290334530 is an apocalyptic number.

90334530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90334530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

90334530 is an abundant number, since it is smaller than the sum of its proper divisors (185635710).

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

90334530 is a wasteful number, since it uses less digits than its factorization.

90334530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 90334530 is about 9504.4479061122. The cubic root of 90334530 is about 448.6950341711.

Adding to 90334530 its reverse (3543309), we get a palindrome (93877839).

The spelling of 90334530 in words is "ninety million, three hundred thirty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 7019 12870 14038 21057 35095 42114 63171 70190 77209 91247 105285 126342 154418 182494 210570 231627 273741 315855 386045 456235 463254 547482 631710 694881 772090 821223 912470 1003717 1158135 1368705 1389762 1642446 2007434 2316270 2737410 3011151 3474405 4106115 5018585 6022302 6948810 8212230 9033453 10037170 15055755 18066906 30111510 45167265 90334530