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68648020 = 2257310007
BaseRepresentation
bin1000001011101…
…11110001010100
311210011200101021
410011313301110
5120033214040
610451210524
71462333000
oct405676124
9153150337
1068648020
1135828301
121aba6a44
13112b733c
14918d700
15606024a
hex4177c54

68648020 has 48 divisors (see below), whose sum is σ = 168134400. Its totient is φ = 23534112.

The previous prime is 68648009. The next prime is 68648029. The reversal of 68648020 is 2084686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68648029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857 + ... + 11863.

It is an arithmetic number, because the mean of its divisors is an integer number (3502800).

Almost surely, 268648020 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 68648020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84067200).

68648020 is an abundant number, since it is smaller than the sum of its proper divisors (99486380).

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

68648020 is a wasteful number, since it uses less digits than its factorization.

68648020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10037 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 68648020 is about 8285.4100683068. The cubic root of 68648020 is about 409.4579789837.

It can be divided in two parts, 6864 and 8020, that added together give a square (14884 = 1222).

The spelling of 68648020 in words is "sixty-eight million, six hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 10007 20014 40028 50035 70049 100070 140098 200140 280196 350245 490343 700490 980686 1400980 1961372 2451715 3432401 4903430 6864802 9806860 13729604 17162005 34324010 68648020