Search a number
-
+
690249168 = 24337228257
BaseRepresentation
bin101001001001000…
…101110111010000
31210002211021212000
4221021011313100
52403200433133
6152254234000
723051010150
oct5111056720
91702737760
10690249168
1132469a464
121731b5900
13b000707b
146795a760
15408e8413
hex29245dd0

690249168 has 80 divisors (see below), whose sum is σ = 2264319360. Its totient is φ = 197213184.

The previous prime is 690249167. The next prime is 690249173. The reversal of 690249168 is 861942096.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690249163) 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 15 ways as a sum of consecutive naturals, for example, 111105 + ... + 117152.

It is an arithmetic number, because the mean of its divisors is an integer number (28303992).

Almost surely, 2690249168 is an apocalyptic number.

It is an amenable number.

690249168 is an abundant number, since it is smaller than the sum of its proper divisors (1574070192).

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

690249168 is a wasteful number, since it uses less digits than its factorization.

690249168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228281 (or 228269 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 690249168 is about 26272.5934768534. The cubic root of 690249168 is about 883.7619459596.

The spelling of 690249168 in words is "six hundred ninety million, two hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 228257 456514 684771 913028 1369542 1597799 1826056 2054313 2739084 3195598 3652112 4108626 4793397 5478168 6162939 6391196 8217252 9586794 10956336 12325878 12782392 14380191 16434504 19173588 24651756 25564784 28760382 32869008 38347176 43140573 49303512 57520764 76694352 86281146 98607024 115041528 172562292 230083056 345124584 690249168