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68644480 = 275283379
BaseRepresentation
bin1000001011101…
…10111010000000
311210011111112011
410011312322000
5120033110410
610451142304
71462316452
oct405667200
9153144464
1068644480
1135825683
121aba4994
13112b5848
14918c2d2
15605e18a
hex4176e80

68644480 has 64 divisors (see below), whose sum is σ = 165117600. Its totient is φ = 27288576.

The previous prime is 68644427. The next prime is 68644507. The reversal of 68644480 is 8444686.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180931 + ... + 181309.

Almost surely, 268644480 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 68644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82558800).

68644480 is an abundant number, since it is smaller than the sum of its proper divisors (96473120).

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

68644480 is a wasteful number, since it uses less digits than its factorization.

68644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 68644480 is about 8285.1964370195. The cubic root of 68644480 is about 409.4509406348.

The spelling of 68644480 in words is "sixty-eight million, six hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 283 320 379 566 640 758 1132 1415 1516 1895 2264 2830 3032 3790 4528 5660 6064 7580 9056 11320 12128 15160 18112 22640 24256 30320 36224 45280 48512 60640 90560 107257 121280 181120 214514 242560 429028 536285 858056 1072570 1716112 2145140 3432224 4290280 6864448 8580560 13728896 17161120 34322240 68644480