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68174720 = 275372879
BaseRepresentation
bin1000001000001…
…00001110000000
311202021122010122
410010010032000
5114423042340
610433115412
71455322055
oct404041600
9152248118
1068174720
1135534749
121a9b8b68
131117ca93
1490a902c
155eb9db5
hex4104380

68174720 has 64 divisors (see below), whose sum is σ = 167443200. Its totient is φ = 26523648.

The previous prime is 68174719. The next prime is 68174723. The reversal of 68174720 is 2747186.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68174723) 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, 22241 + ... + 25119.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 268174720 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 68174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).

68174720 is an abundant number, since it is smaller than the sum of its proper divisors (99268480).

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

68174720 is a wasteful number, since it uses less digits than its factorization.

68174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 68174720 is about 8256.7984110065. The cubic root of 68174720 is about 408.5147929665.

The spelling of 68174720 in words is "sixty-eight million, one hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1480 2368 2879 2960 4736 5758 5920 11516 11840 14395 23032 23680 28790 46064 57580 92128 106523 115160 184256 213046 230320 368512 426092 460640 532615 852184 921280 1065230 1704368 1842560 2130460 3408736 4260920 6817472 8521840 13634944 17043680 34087360 68174720