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68028300 = 223252131577
BaseRepresentation
bin1000000111000…
…00011110001100
311202000012021200
410003200132030
5114403401200
610430025500
71454142144
oct403403614
9152005250
1068028300
113544473a
121a948290
131112b242
14906b924
155e8b800
hex40e078c

68028300 has 108 divisors (see below), whose sum is σ = 215231016. Its totient is φ = 17971200.

The previous prime is 68028293. The next prime is 68028313. The reversal of 68028300 is 382086.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117612 + ... + 118188.

Almost surely, 268028300 is an apocalyptic number.

68028300 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 68028300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107615508).

68028300 is an abundant number, since it is smaller than the sum of its proper divisors (147202716).

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

68028300 is a wasteful number, since it uses less digits than its factorization.

68028300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68028300 is about 8247.9270122862. The cubic root of 68028300 is about 408.2221252990. Note that the first 3 decimals are identical.

The spelling of 68028300 in words is "sixty-eight million, twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 225 262 300 393 450 524 577 655 786 900 1154 1179 1310 1572 1731 1965 2308 2358 2620 2885 3275 3462 3930 4716 5193 5770 5895 6550 6924 7860 8655 9825 10386 11540 11790 13100 14425 17310 19650 20772 23580 25965 28850 29475 34620 39300 43275 51930 57700 58950 75587 86550 103860 117900 129825 151174 173100 226761 259650 302348 377935 453522 519300 680283 755870 907044 1133805 1360566 1511740 1889675 2267610 2721132 3401415 3779350 4535220 5669025 6802830 7558700 11338050 13605660 17007075 22676100 34014150 68028300