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68960320 = 26511213137
BaseRepresentation
bin1000001110001…
…00000001000000
311210202112202221
410013010001000
5120123212240
610502020424
71465103332
oct407040100
9153675687
1068960320
1135a20a00
121b117714
1311396530
149231452
1560c2a4a
hex41c4040

68960320 has 168 divisors, whose sum is σ = 195800472. Its totient is φ = 22978560.

The previous prime is 68960293. The next prime is 68960357. The reversal of 68960320 is 2306986.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 66977856 = 1408^2 + 8184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503292 + ... + 503428.

It is an arithmetic number, because the mean of its divisors is an integer number (1165479).

Almost surely, 268960320 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 68960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97900236).

68960320 is an abundant number, since it is smaller than the sum of its proper divisors (126840152).

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

68960320 is a wasteful number, since it uses less digits than its factorization.

68960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 68960320 is about 8304.2350641104. The cubic root of 68960320 is about 410.0779546399.

It can be divided in two parts, 689 and 60320, that added together give a square (61009 = 2472).

The spelling of 68960320 in words is "sixty-eight million, nine hundred sixty thousand, three hundred twenty".