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68125806 = 2337374871
BaseRepresentation
bin1000000111110…
…00010001101110
311202012011001000
410003320101232
5114420011211
610432101130
71455026340
oct403702156
9152164030
1068125806
1135500a21
121a9947a6
1311163738
149095290
155eaa656
hex40f846e

68125806 has 64 divisors (see below), whose sum is σ = 177730560. Its totient is φ = 18934560.

The previous prime is 68125787. The next prime is 68125807. The reversal of 68125806 is 60852186.

It is a happy number.

68125806 is a `hidden beast` number, since 68 + 12 + 580 + 6 = 666.

It is a super-2 number, since 2×681258062 = 9282250886299272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68125807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11551 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (2777040).

Almost surely, 268125806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68125806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88865280).

68125806 is an abundant number, since it is smaller than the sum of its proper divisors (109604754).

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

68125806 is a wasteful number, since it uses less digits than its factorization.

68125806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4926 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 68125806 is about 8253.8358355373. The cubic root of 68125806 is about 408.4170691895.

The spelling of 68125806 in words is "sixty-eight million, one hundred twenty-five thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 4871 6993 9742 13986 14613 29226 34097 43839 68194 87678 102291 131517 180227 204582 263034 306873 360454 540681 613746 920619 1081362 1261589 1622043 1841238 2523178 3244086 3784767 4866129 7569534 9732258 11354301 22708602 34062903 68125806