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678213900 = 22325273133
BaseRepresentation
bin101000011011001…
…011100100001100
31202021011211120100
4220123023210030
52342110321100
6151144251100
722543503000
oct5033134414
91667154510
10678213900
1131891a161
1216b170a90
13aa682000
1466106700
153e81c400
hex286cb90c

678213900 has 432 divisors, whose sum is σ = 2685592000. Its totient is φ = 143095680.

The previous prime is 678213871. The next prime is 678213919. The reversal of 678213900 is 9312876.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 52170294 + ... + 52170306.

Almost surely, 2678213900 is an apocalyptic number.

678213900 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 678213900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342796000).

678213900 is an abundant number, since it is smaller than the sum of its proper divisors (2007378100).

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

678213900 is a wasteful number, since it uses less digits than its factorization.

678213900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 678213900 is about 26042.5401986826. The cubic root of 678213900 is about 878.5953399911.

The spelling of 678213900 in words is "six hundred seventy-eight million, two hundred thirteen thousand, nine hundred".