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68648580 = 2233571113127
BaseRepresentation
bin1000001011101…
…11111010000100
311210011201011000
410011313322010
5120033223310
610451213300
71462334430
oct405677204
9153151130
1068648580
1135828770
121aba7230
13112b7680
14918d9c0
1560604c0
hex4177e84

68648580 has 384 divisors, whose sum is σ = 289013760. Its totient is φ = 13063680.

The previous prime is 68648563. The next prime is 68648599. The reversal of 68648580 is 8584686.

68648580 is a `hidden beast` number, since 6 + 8 + 64 + 8 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540477 + ... + 540603.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 268648580 is an apocalyptic number.

68648580 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 68648580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

68648580 is an abundant number, since it is smaller than the sum of its proper divisors (220365180).

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

68648580 is a wasteful number, since it uses less digits than its factorization.

68648580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 68648580 is about 8285.4438625821. The cubic root of 68648580 is about 409.4590923727.

The spelling of 68648580 in words is "sixty-eight million, six hundred forty-eight thousand, five hundred eighty".