Search a number
-
+
68445810 = 236541229
BaseRepresentation
bin1000001010001…
…10011001110010
311202210102000000
410011012121302
5120010231220
610443010430
71460531316
oct405063162
9152712000
1068445810
11356aa394
121ab09a16
13112462a4
149139b46
156020390
hex4146672

68445810 has 112 divisors (see below), whose sum is σ = 190050840. Its totient is φ = 17729280.

The previous prime is 68445803. The next prime is 68445827. The reversal of 68445810 is 1854486.

It can be written as a sum of positive squares in 4 ways, for example, as 53538489 + 14907321 = 7317^2 + 3861^2 .

It is a super-2 number, since 2×684458102 = 9369657813112200, which contains 22 as substring.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 298776 + ... + 299004.

Almost surely, 268445810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68445810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95025420).

68445810 is an abundant number, since it is smaller than the sum of its proper divisors (121605030).

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

68445810 is a wasteful number, since it uses less digits than its factorization.

68445810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 68445810 is about 8273.1982932842. The cubic root of 68445810 is about 409.0555496711.

The spelling of 68445810 in words is "sixty-eight million, four hundred forty-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 229 243 246 270 369 405 410 458 486 615 687 729 738 810 1107 1145 1215 1230 1374 1458 1845 2061 2214 2290 2430 3321 3435 3645 3690 4122 5535 6183 6642 6870 7290 9389 9963 10305 11070 12366 16605 18549 18778 19926 20610 28167 29889 30915 33210 37098 46945 49815 55647 56334 59778 61830 84501 92745 93890 99630 111294 140835 149445 166941 169002 185490 253503 278235 281670 298890 333882 422505 507006 556470 760509 834705 845010 1267515 1521018 1669410 2281527 2535030 3802545 4563054 6844581 7605090 11407635 13689162 22815270 34222905 68445810