Search a number
-
+
90866736 = 24323112029
BaseRepresentation
bin1010110101010…
…00010000110000
320022222111201200
411122220100300
5141230213421
613003331200
72152232412
oct532502060
9208874650
1090866736
1147323584
1226520b00
1315a965cc
14c0d49b2
157e9d726
hex56a8430

90866736 has 60 divisors (see below), whose sum is σ = 255244080. Its totient is φ = 30176640.

The previous prime is 90866731. The next prime is 90866747. The reversal of 90866736 is 63766809.

It is a super-2 number, since 2×908667362 = 16513527422587392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90866691 and 90866700.

It is not an unprimeable number, because it can be changed into a prime (90866731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43770 + ... + 45798.

It is an arithmetic number, because the mean of its divisors is an integer number (4254068).

Almost surely, 290866736 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 90866736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127622040).

90866736 is an abundant number, since it is smaller than the sum of its proper divisors (164377344).

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

90866736 is a wasteful number, since it uses less digits than its factorization.

90866736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 90866736 is about 9532.4045235187. The cubic root of 90866736 is about 449.5744718137.

The spelling of 90866736 in words is "ninety million, eight hundred sixty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 311 622 933 1244 1866 2029 2488 2799 3732 4058 4976 5598 6087 7464 8116 11196 12174 14928 16232 18261 22392 24348 32464 36522 44784 48696 73044 97392 146088 292176 631019 1262038 1893057 2524076 3786114 5048152 5679171 7572228 10096304 11358342 15144456 22716684 30288912 45433368 90866736