Search a number
-
+
90330876 = 2235199467
BaseRepresentation
bin1010110001001…
…01011011111100
320021222021200000
411120211123330
5141111042001
612544034300
72144541216
oct530453374
9207867600
1090330876
1146a97a19
1226302990
131593972c
14bdd55b6
157de4a86
hex56256fc

90330876 has 72 divisors (see below), whose sum is σ = 238492800. Its totient is φ = 29894832.

The previous prime is 90330871. The next prime is 90330881. The reversal of 90330876 is 67803309.

It is an interprime number because it is at equal distance from previous prime (90330871) and next prime (90330881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90330876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90330871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193195 + ... + 193661.

It is an arithmetic number, because the mean of its divisors is an integer number (3312400).

Almost surely, 290330876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90330876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119246400).

90330876 is an abundant number, since it is smaller than the sum of its proper divisors (148161924).

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

90330876 is a wasteful number, since it uses less digits than its factorization.

90330876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90330876 is about 9504.2556783790. The cubic root of 90330876 is about 448.6889842373.

The spelling of 90330876 in words is "ninety million, three hundred thirty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 243 324 398 467 486 597 796 934 972 1194 1401 1791 1868 2388 2802 3582 4203 5373 5604 7164 8406 10746 12609 16119 16812 21492 25218 32238 37827 48357 50436 64476 75654 92933 96714 113481 151308 185866 193428 226962 278799 371732 453924 557598 836397 1115196 1672794 2509191 3345588 5018382 7527573 10036764 15055146 22582719 30110292 45165438 90330876