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1060080768 = 2732920209
BaseRepresentation
bin111111001011111…
…000110010000000
32201212201200102200
4333023320302000
54132340041033
6253105113200
735161352325
oct7713706200
92655650380
101060080768
114a442a40a
12257028800
1313b814b36
14a0b0ab4c
15630ed013
hex3f2f8c80

1060080768 has 48 divisors (see below), whose sum is σ = 3050496150. Its totient is φ = 353359872.

The previous prime is 1060080709. The next prime is 1060080829. The reversal of 1060080768 is 8670800601.

1060080768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 881377344 + 178703424 = 29688^2 + 13368^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10600807682 = 2247542469366939648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458953 + ... + 461256.

Almost surely, 21060080768 is an apocalyptic number.

1060080768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1060080768 is an abundant number, since it is smaller than the sum of its proper divisors (1990415382).

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

1060080768 is an equidigital number, since it uses as much as digits as its factorization.

1060080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920229 (or 920214 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1060080768 is about 32558.8815532721. The cubic root of 1060080768 is about 1019.6387186477.

The spelling of 1060080768 in words is "one billion, sixty million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 920209 1840418 2760627 3680836 5521254 7361672 8281881 11042508 14723344 16563762 22085016 29446688 33127524 44170032 58893376 66255048 88340064 117786752 132510096 176680128 265020192 353360256 530040384 1060080768