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68800688 = 2411439091
BaseRepresentation
bin1000001100111…
…01000010110000
311210110102210122
410012131002300
5120103110223
610454345412
71463540045
oct406350260
9153412718
1068800688
1135921a80
121b05b268
131133b988
1491cd1cc
1560905c8
hex419d0b0

68800688 has 40 divisors (see below), whose sum is σ = 148817856. Its totient is φ = 30542400.

The previous prime is 68800681. The next prime is 68800709. The reversal of 68800688 is 88600886.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (68800681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3023 + ... + 12113.

Almost surely, 268800688 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 68800688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74408928).

68800688 is an abundant number, since it is smaller than the sum of its proper divisors (80017168).

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

68800688 is a wasteful number, since it uses less digits than its factorization.

68800688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 68800688 is about 8294.6180141101. The cubic root of 68800688 is about 409.7612887655.

It can be divided in two parts, 68800 and 688, that multiplied together give a square (47334400 = 68802).

The spelling of 68800688 in words is "sixty-eight million, eight hundred thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 7568 9091 18182 36364 72728 100001 145456 200002 390913 400004 781826 800008 1563652 1600016 3127304 4300043 6254608 8600086 17200172 34400344 68800688