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755068480 = 2653496761
BaseRepresentation
bin101101000000010…
…110111001000000
31221121210110020021
4231000112321000
53021244142410
6202531423224
724465655555
oct5500267100
91847713207
10755068480
11358242141
12190a54b14
13c05807aa
14723d0a2c
154644deda
hex2d016e40

755068480 has 56 divisors (see below), whose sum is σ = 1803425400. Its totient is φ = 301117440.

The previous prime is 755068477. The next prime is 755068499. The reversal of 755068480 is 84860557.

It can be written as a sum of positive squares in 4 ways, for example, as 242861056 + 512207424 = 15584^2 + 22632^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 108300 + ... + 115060.

It is an arithmetic number, because the mean of its divisors is an integer number (32204025).

Almost surely, 2755068480 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 755068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901712700).

755068480 is an abundant number, since it is smaller than the sum of its proper divisors (1048356920).

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

755068480 is a wasteful number, since it uses less digits than its factorization.

755068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7127 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 755068480 is about 27478.5094210003. The cubic root of 755068480 is about 910.6023786071.

The spelling of 755068480 in words is "seven hundred fifty-five million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 349 698 1396 1745 2792 3490 5584 6761 6980 11168 13522 13960 22336 27044 27920 33805 54088 55840 67610 108176 111680 135220 216352 270440 432704 540880 1081760 2163520 2359589 4719178 9438356 11797945 18876712 23595890 37753424 47191780 75506848 94383560 151013696 188767120 377534240 755068480