Search a number
-
+
90999909 = 33721113237
BaseRepresentation
bin1010110110010…
…00110001100101
320100020021102000
411123020301211
5141243444114
613010235513
72153325600
oct533106145
9210207360
1090999909
1147404640
1226585b99
1315b12100
14c12b337
157ec7e09
hex56c8c65

90999909 has 144 divisors (see below), whose sum is σ = 190261440. Its totient is φ = 42456960.

The previous prime is 90999899. The next prime is 90999947.

90999909 is nontrivially palindromic in base 10 and base 16.

It is not a de Polignac number, because 90999909 - 29 = 90999397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90999959) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2459439 + ... + 2459475.

It is an arithmetic number, because the mean of its divisors is an integer number (1321260).

Almost surely, 290999909 is an apocalyptic number.

90999909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90999909 is an abundant number, since it is smaller than the sum of its proper divisors (99261531).

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

90999909 is a wasteful number, since it uses less digits than its factorization.

90999909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The square root of 90999909 is about 9539.3872444723. The cubic root of 90999909 is about 449.7939945961.

It can be divided in two parts, 90 and 999909, that added together give a palindrome (999999).

The spelling of 90999909 in words is "ninety million, nine hundred ninety-nine thousand, nine hundred nine".

Divisors: 1 3 7 9 11 13 21 27 33 37 39 49 63 77 91 99 111 117 143 147 169 189 231 259 273 297 333 351 407 429 441 481 507 539 637 693 777 819 999 1001 1183 1221 1287 1323 1443 1521 1617 1813 1859 1911 2079 2331 2457 2849 3003 3367 3549 3663 3861 4329 4563 4851 5291 5439 5577 5733 6253 6993 7007 8281 8547 9009 10101 10647 10989 12987 13013 14553 15873 16317 16731 17199 18759 19943 21021 23569 24843 25641 27027 30303 31941 37037 39039 43771 47619 48951 50193 56277 59829 63063 68783 70707 74529 76923 90909 91091 111111 117117 131313 142857 168831 179487 189189 206349 212121 223587 259259 273273 306397 333333 351351 393939 481481 538461 619047 636363 777777 819819 919191 999999 1181817 1444443 1857141 2333331 2459457 2757573 3370367 4333329 6999993 8272719 10111101 12999987 30333303 90999909