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68684000 = 2553711223
BaseRepresentation
bin1000001100000…
…00100011100000
311210020111201212
410012000203200
5120040342000
610452045252
71462542620
oct406004340
9153214655
1068684000
1135852340
121b003828
13112ca828
14919c880
15606ac35
hex41808e0

68684000 has 192 divisors, whose sum is σ = 211341312. Its totient is φ = 21312000.

The previous prime is 68683981. The next prime is 68684017. The reversal of 68684000 is 48686.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307889 + ... + 308111.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 268684000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

68684000 is an abundant number, since it is smaller than the sum of its proper divisors (142657312).

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

68684000 is a wasteful number, since it uses less digits than its factorization.

68684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 68684000 is about 8287.5810704934. The cubic root of 68684000 is about 409.5295019254.

The spelling of 68684000 in words is "sixty-eight million, six hundred eighty-four thousand".