Search a number
-
+
68076450 = 2355213431
BaseRepresentation
bin1000000111011…
…00001110100010
311202002122100000
410003230032202
5114411421300
610431040430
71454432421
oct403541642
9152078300
1068076450
1135477932
121a970116
1311147130
1490812b8
155e9ac00
hex40ec3a2

68076450 has 144 divisors (see below), whose sum is σ = 204736896. Its totient is φ = 16718400.

The previous prime is 68076431. The next prime is 68076451. The reversal of 68076450 is 5467086.

It is a happy number.

68076450 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 645 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68076451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157735 + ... + 158165.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 268076450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68076450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

68076450 is an abundant number, since it is smaller than the sum of its proper divisors (136660446).

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

68076450 is a wasteful number, since it uses less digits than its factorization.

68076450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68076450 is about 8250.8454112291. The cubic root of 68076450 is about 408.3184149300.

The spelling of 68076450 in words is "sixty-eight million, seventy-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 243 270 325 351 390 405 431 450 486 585 650 675 702 810 862 975 1053 1170 1215 1293 1350 1755 1950 2025 2106 2155 2430 2586 2925 3159 3510 3879 4050 4310 5265 5603 5850 6075 6318 6465 7758 8775 10530 10775 11206 11637 12150 12930 15795 16809 17550 19395 21550 23274 26325 28015 31590 32325 33618 34911 38790 50427 52650 56030 58185 64650 69822 78975 84045 96975 100854 104733 116370 140075 151281 157950 168090 174555 193950 209466 252135 280150 290925 302562 349110 420225 453843 504270 523665 581850 756405 840450 872775 907686 1047330 1260675 1361529 1512810 1745550 2269215 2521350 2618325 2723058 3782025 4538430 5236650 6807645 7564050 11346075 13615290 22692150 34038225 68076450