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68046300 = 223252721543
BaseRepresentation
bin1000000111001…
…00110111011100
311202001002222100
410003210313130
5114404440200
610430245100
71454245500
oct403446734
9152032870
1068046300
1135457213
121a956790
13111364aa
149074300
155e91d00
hex40e4ddc

68046300 has 162 divisors, whose sum is σ = 248270568. Its totient is φ = 15543360.

The previous prime is 68046299. The next prime is 68046311. The reversal of 68046300 is 364086.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 43329 + ... + 44871.

Almost surely, 268046300 is an apocalyptic number.

68046300 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 68046300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124135284).

68046300 is an abundant number, since it is smaller than the sum of its proper divisors (180224268).

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

68046300 is a wasteful number, since it uses less digits than its factorization.

68046300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 68046300 is about 8249.0181233890. The cubic root of 68046300 is about 408.2581267389.

The spelling of 68046300 in words is "sixty-eight million, forty-six thousand, three hundred".