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68298100 = 225213107491
BaseRepresentation
bin1000001001000…
…10010101110100
311202111220101021
410010202111310
5114441014400
610435510524
71456344553
oct404422564
9152456337
1068298100
1135609412
121aa58444
13111c3ca0
1490dbd9a
155ee171a
hex4122574

68298100 has 72 divisors (see below), whose sum is σ = 161427168. Its totient is φ = 24931200.

The previous prime is 68298091. The next prime is 68298121. The reversal of 68298100 is 189286.

It is a super-2 number, since 2×682981002 = 9329260927220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138855 + ... + 139345.

It is an arithmetic number, because the mean of its divisors is an integer number (2242044).

Almost surely, 268298100 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 68298100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80713584).

68298100 is an abundant number, since it is smaller than the sum of its proper divisors (93129068).

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

68298100 is a wasteful number, since it uses less digits than its factorization.

68298100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 68298100 is about 8264.2664526260. The cubic root of 68298100 is about 408.7610825988.

The spelling of 68298100 in words is "sixty-eight million, two hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 491 535 650 982 1070 1300 1391 1964 2140 2455 2675 2782 4910 5350 5564 6383 6955 9820 10700 12275 12766 13910 24550 25532 27820 31915 34775 49100 52537 63830 69550 105074 127660 139100 159575 210148 262685 319150 525370 638300 682981 1050740 1313425 1365962 2626850 2731924 3414905 5253700 6829810 13659620 17074525 34149050 68298100