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68927040 = 26325713263
BaseRepresentation
bin1000001101110…
…11111001000000
311210200212010100
410012323321000
5120121131130
610501202400
71464604320
oct406737100
9153625110
1068927040
11359a89a6
121b100400
1311384340
149223280
1560b7c60
hex41bbe40

68927040 has 336 divisors, whose sum is σ = 292900608. Its totient is φ = 14487552.

The previous prime is 68927009. The next prime is 68927063. The reversal of 68927040 is 4072986.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 68926986 and 68927004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261949 + ... + 262211.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 268927040 is an apocalyptic number.

68927040 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 68927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

68927040 is an abundant number, since it is smaller than the sum of its proper divisors (223973568).

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

68927040 is a wasteful number, since it uses less digits than its factorization.

68927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68927040 is about 8302.2310254533. The cubic root of 68927040 is about 410.0119766480.

The spelling of 68927040 in words is "sixty-eight million, nine hundred twenty-seven thousand, forty".