Search a number
-
+
690894468 = 223311718191
BaseRepresentation
bin101001001011100…
…011011010000100
31210011001002001000
4221023203122010
52403332110333
6152320133300
723056335405
oct5113433204
91704032030
10690894468
11324aa0270
12173467230
13b01a19c4
1467a879ac
15409c4713
hex292e3684

690894468 has 96 divisors (see below), whose sum is σ = 1981808640. Its totient is φ = 206388000.

The previous prime is 690894437. The next prime is 690894469. The reversal of 690894468 is 864498096.

690894468 is a `hidden beast` number, since 6 + 90 + 8 + 94 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (690894469) 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 31 ways as a sum of consecutive naturals, for example, 80253 + ... + 88443.

It is an arithmetic number, because the mean of its divisors is an integer number (20643840).

Almost surely, 2690894468 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 690894468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990904320).

690894468 is an abundant number, since it is smaller than the sum of its proper divisors (1290914172).

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

690894468 is a wasteful number, since it uses less digits than its factorization.

690894468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 690894468 is about 26284.8714663017. The cubic root of 690894468 is about 884.0372639097.

The spelling of 690894468 in words is "six hundred ninety million, eight hundred ninety-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 132 142 198 213 284 297 396 426 594 639 781 852 1188 1278 1562 1917 2343 2556 3124 3834 4686 7029 7668 8191 9372 14058 16382 21087 24573 28116 32764 42174 49146 73719 84348 90101 98292 147438 180202 221157 270303 294876 360404 442314 540606 581561 810909 884628 1081212 1163122 1621818 1744683 2326244 2432727 3243636 3489366 4865454 5234049 6397171 6978732 9730908 10468098 12794342 15702147 19191513 20936196 25588684 31404294 38383026 57574539 62808588 76766052 115149078 172723617 230298156 345447234 690894468