Search a number
-
+
68815520 = 255479151
BaseRepresentation
bin1000001101000…
…00101010100000
311210111012010222
410012200222200
5120104044040
610454542212
71463631224
oct406405240
9153435128
1068815520
1135932134
121b067968
1311345657
1491d4784
156094bb5
hex41a0aa0

68815520 has 48 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 26937600.

The previous prime is 68815519. The next prime is 68815553. The reversal of 68815520 is 2551886.

It is a happy number.

It is a super-3 number, since 3×688155203 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2945 + ... + 12095.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 268815520 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 68815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83026944).

68815520 is an abundant number, since it is smaller than the sum of its proper divisors (97238368).

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

68815520 is a wasteful number, since it uses less digits than its factorization.

68815520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 68815520 is about 8295.5120396513. The cubic root of 68815520 is about 409.7907319922.

The spelling of 68815520 in words is "sixty-eight million, eight hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 9151 18302 36604 45755 73208 91510 146416 183020 292832 366040 430097 732080 860194 1464160 1720388 2150485 3440776 4300970 6881552 8601940 13763104 17203880 34407760 68815520