Search a number
-
+
68415930 = 232511292383
BaseRepresentation
bin1000001001111…
…11000110111010
311202201220000100
410010333012322
5120003302210
610442220230
71460345232
oct404770672
9152656010
1068415930
11356899a0
121aab4676
13112357cb
14912ccc2
1560165c0
hex413f1ba

68415930 has 96 divisors (see below), whose sum is σ = 200828160. Its totient is φ = 16007040.

The previous prime is 68415899. The next prime is 68415931. The reversal of 68415930 is 3951486.

68415930 is a `hidden beast` number, since 68 + 4 + 1 + 593 + 0 = 666.

It is a super-3 number, since 3×684159303 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (68415931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27519 + ... + 29901.

It is an arithmetic number, because the mean of its divisors is an integer number (2091960).

Almost surely, 268415930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68415930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100414080).

68415930 is an abundant number, since it is smaller than the sum of its proper divisors (132412230).

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

68415930 is a wasteful number, since it uses less digits than its factorization.

68415930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 68415930 is about 8271.3922649092. The cubic root of 68415930 is about 408.9960166437.

The spelling of 68415930 in words is "sixty-eight million, four hundred fifteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1305 1595 1914 2383 2610 2871 3190 4766 4785 5742 7149 9570 11915 14298 14355 21447 23830 26213 28710 35745 42894 52426 69107 71490 78639 107235 131065 138214 157278 207321 214470 235917 262130 345535 393195 414642 471834 621963 691070 760177 786390 1036605 1179585 1243926 1520354 2073210 2280531 2359170 3109815 3800885 4561062 6219630 6841593 7601770 11402655 13683186 22805310 34207965 68415930