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68553450 = 23252723109
BaseRepresentation
bin1000001011000…
…00101011101010
311202222212122200
410011200223222
5120022202300
610445201030
71461460200
oct405405352
9152885580
1068553450
1135773249
121ab60176
1311283294
149167070
156042200
hex4160aea

68553450 has 108 divisors (see below), whose sum is σ = 214319430. Its totient is φ = 15664320.

The previous prime is 68553449. The next prime is 68553451. The reversal of 68553450 is 5435586.

68553450 is a `hidden beast` number, since 68 + 553 + 45 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68553449) and next prime (68553451).

It can be written as a sum of positive squares in 3 ways, for example, as 39425841 + 29127609 = 6279^2 + 5397^2 .

It is not an unprimeable number, because it can be changed into a prime (68553451) 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 53 ways as a sum of consecutive naturals, for example, 20496 + ... + 23604.

Almost surely, 268553450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68553450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107159715).

68553450 is an abundant number, since it is smaller than the sum of its proper divisors (145765980).

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

68553450 is a wasteful number, since it uses less digits than its factorization.

68553450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 68553450 is about 8279.7010815609. The cubic root of 68553450 is about 409.2698685030.

It can be divided in two parts, 685534 and 50, that added together give a square (685584 = 8282).

The spelling of 68553450 in words is "sixty-eight million, five hundred fifty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3109 3150 3675 4410 6218 7350 9327 11025 15545 18654 21763 22050 27981 31090 43526 46635 55962 65289 77725 93270 108815 130578 139905 152341 155450 195867 217630 233175 279810 304682 326445 391734 457023 466350 544075 652890 699525 761705 914046 979335 1088150 1371069 1399050 1523410 1632225 1958670 2285115 2742138 3264450 3808525 4570230 4896675 6855345 7617050 9793350 11425575 13710690 22851150 34276725 68553450