Search a number
-
+
68838080 = 2652347199
BaseRepresentation
bin1000001101001…
…10001011000000
311210112100002112
410012212023000
5120110304310
610455234452
71464054053
oct406461300
9153470075
1068838080
1135948083
121b078a28
13113529bc
1491dca9a
15609b705
hex41a62c0

68838080 has 112 divisors (see below), whose sum is σ = 175564800. Its totient is φ = 25648128.

The previous prime is 68838079. The next prime is 68838089. The reversal of 68838080 is 8083886.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (68838089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345821 + ... + 346019.

Almost surely, 268838080 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 68838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

68838080 is an abundant number, since it is smaller than the sum of its proper divisors (106726720).

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

68838080 is a wasteful number, since it uses less digits than its factorization.

68838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 68838080 is about 8296.8716996227. The cubic root of 68838080 is about 409.8355080778.

The spelling of 68838080 in words is "sixty-eight million, eight hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 47 64 80 92 94 115 160 184 188 199 230 235 320 368 376 398 460 470 736 752 796 920 940 995 1081 1472 1504 1592 1840 1880 1990 2162 3008 3184 3680 3760 3980 4324 4577 5405 6368 7360 7520 7960 8648 9154 9353 10810 12736 15040 15920 17296 18308 18706 21620 22885 31840 34592 36616 37412 43240 45770 46765 63680 69184 73232 74824 86480 91540 93530 146464 149648 172960 183080 187060 215119 292928 299296 345920 366160 374120 430238 598592 732320 748240 860476 1075595 1464640 1496480 1720952 2151190 2992960 3441904 4302380 6883808 8604760 13767616 17209520 34419040 68838080