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68668544 = 277173443
BaseRepresentation
bin1000001011111…
…00110010000000
311210012201112102
410011330302000
5120034343134
610451445532
71462446560
oct405746200
9153181472
1068668544
113584176a
121abb68a8
13112c3799
149196da0
15606637e
hex417cc80

68668544 has 64 divisors (see below), whose sum is σ = 157602240. Its totient is φ = 29193216.

The previous prime is 68668543. The next prime is 68668571. The reversal of 68668544 is 44586686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (68668541) 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, 154787 + ... + 155229.

It is an arithmetic number, because the mean of its divisors is an integer number (2462535).

Almost surely, 268668544 is an apocalyptic number.

68668544 is a gapful number since it is divisible by the number (64) 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 68668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78801120).

68668544 is an abundant number, since it is smaller than the sum of its proper divisors (88933696).

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

68668544 is a wasteful number, since it uses less digits than its factorization.

68668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The square root of 68668544 is about 8286.6485384623. The cubic root of 68668544 is about 409.4987807345.

The spelling of 68668544 in words is "sixty-eight million, six hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 346 443 448 692 886 896 1211 1384 1772 2422 2768 3101 3544 4844 5536 6202 7088 9688 11072 12404 14176 19376 22144 24808 28352 38752 49616 56704 76639 77504 99232 153278 155008 198464 306556 396928 536473 613112 1072946 1226224 2145892 2452448 4291784 4904896 8583568 9809792 17167136 34334272 68668544