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68812800 = 2173527
BaseRepresentation
bin1000001101000…
…00000000000000
311210111001102020
410012200000000
5120104002200
610454521440
71463620260
oct406400000
9153431366
1068812800
1135930091
121b066280
1311344344
1491d37a0
156093ea0
hex41a0000

68812800 has 216 divisors, whose sum is σ = 260045856. Its totient is φ = 15728640.

The previous prime is 68812769. The next prime is 68812823. The reversal of 68812800 is 821886.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9830397 + ... + 9830403.

It is an arithmetic number, because the mean of its divisors is an integer number (1203916).

Almost surely, 268812800 is an apocalyptic number.

68812800 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 68812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130022928).

68812800 is an abundant number, since it is smaller than the sum of its proper divisors (191233056).

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

68812800 is an frugal number, since it uses more digits than its factorization.

68812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 68812800 is about 8295.3480939621. The cubic root of 68812800 is about 409.7853327960.

The spelling of 68812800 in words is "sixty-eight million, eight hundred twelve thousand, eight hundred".