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68617500 = 2235471307
BaseRepresentation
bin1000001011100…
…00010100011100
311210010010111220
410011300110130
5120031230000
610450413340
71462145010
oct405602434
9153103456
1068617500
1135807386
121ab91250
13112a6493
149182540
1560561a0
hex417051c

68617500 has 120 divisors (see below), whose sum is σ = 228826752. Its totient is φ = 15672000.

The previous prime is 68617463. The next prime is 68617501. The reversal of 68617500 is 571686.

It is a super-2 number, since 2×686175002 = 9416722612500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68617501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51847 + ... + 53153.

Almost surely, 268617500 is an apocalyptic number.

68617500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68617500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114413376).

68617500 is an abundant number, since it is smaller than the sum of its proper divisors (160209252).

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

68617500 is a wasteful number, since it uses less digits than its factorization.

68617500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 68617500 is about 8283.5680717913. The cubic root of 68617500 is about 409.3972901252.

The spelling of 68617500 in words is "sixty-eight million, six hundred seventeen thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 625 700 750 875 1050 1250 1307 1500 1750 1875 2100 2500 2614 2625 3500 3750 3921 4375 5228 5250 6535 7500 7842 8750 9149 10500 13070 13125 15684 17500 18298 19605 26140 26250 27447 32675 36596 39210 45745 52500 54894 65350 78420 91490 98025 109788 130700 137235 163375 182980 196050 228725 274470 326750 392100 457450 490125 548940 653500 686175 816875 914900 980250 1143625 1372350 1633750 1960500 2287250 2450625 2744700 3267500 3430875 4574500 4901250 5718125 6861750 9802500 11436250 13723500 17154375 22872500 34308750 68617500