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68427436 = 227112191063
BaseRepresentation
bin1000001010000…
…01111010101100
311202202110210111
410011001322230
5120004134221
610442345404
71460423620
oct405017254
9152673714
1068427436
1135697600
121aabb264
131123ab0c
149133180
156019be1
hex4141eac

68427436 has 72 divisors (see below), whose sum is σ = 158493440. Its totient is φ = 25233120.

The previous prime is 68427409. The next prime is 68427481. The reversal of 68427436 is 63472486.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 63841 + ... + 64903.

Almost surely, 268427436 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 68427436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79246720).

68427436 is an abundant number, since it is smaller than the sum of its proper divisors (90066004).

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

68427436 is a wasteful number, since it uses less digits than its factorization.

68427436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1102 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 68427436 is about 8272.0877654919. The cubic root of 68427436 is about 409.0189432944.

It can be divided in two parts, 684 and 27436, that multiplied together give a square (18766224 = 43322).

The spelling of 68427436 in words is "sixty-eight million, four hundred twenty-seven thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 121 133 154 209 242 266 308 418 484 532 836 847 1063 1463 1694 2126 2299 2926 3388 4252 4598 5852 7441 9196 11693 14882 16093 20197 23386 29764 32186 40394 46772 64372 80788 81851 128623 141379 163702 222167 257246 282758 327404 444334 514492 565516 888668 900361 1555169 1800722 2443837 3110338 3601444 4887674 6220676 9775348 17106859 34213718 68427436