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8068480 = 27571801
BaseRepresentation
bin11110110001110110000000
3120011220212121
4132301312000
54031142410
6444534024
7125403160
oct36616600
916156777
108068480
114610a72
122851314
131896664
1411005a0
15a959da
hex7b1d80

8068480 has 64 divisors (see below), whose sum is σ = 22056480. Its totient is φ = 2764800.

The previous prime is 8068457. The next prime is 8068481. The reversal of 8068480 is 848608.

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 (8068481) by changing a digit.

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, 3580 + ... + 5380.

Almost surely, 28068480 is an apocalyptic number.

8068480 is a gapful number since it is divisible by the number (80) 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 8068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028240).

8068480 is an abundant number, since it is smaller than the sum of its proper divisors (13988000).

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

8068480 is a wasteful number, since it uses less digits than its factorization.

8068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 8068480 is about 2840.5069969990. The cubic root of 8068480 is about 200.5690460640.

The spelling of 8068480 in words is "eight million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1801 2240 3602 4480 7204 9005 12607 14408 18010 25214 28816 36020 50428 57632 63035 72040 100856 115264 126070 144080 201712 230528 252140 288160 403424 504280 576320 806848 1008560 1152640 1613696 2017120 4034240 8068480