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1088736016 = 247321132
BaseRepresentation
bin100000011100100…
…1100101100010000
32210212122112001011
41000321030230100
54212204023031
6300011220304
735660050324
oct10071145420
92725575034
101088736016
11509621535
12264747694
131447389c4
14a4849984
15658ad6b1
hex40e4cb10

1088736016 has 45 divisors (see below), whose sum is σ = 2157812319. Its totient is φ = 532159488.

The previous prime is 1088736013. The next prime is 1088736023. The reversal of 1088736016 is 6106378801.

The square root of 1088736016 is 32996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 331385616 + 757350400 = 18204^2 + 27520^2 .

It is a super-2 number, since 2×10887360162 = 2370692225071104512, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1088736016.

It is not an unprimeable number, because it can be changed into a prime (1088736013) 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 8 ways as a sum of consecutive naturals, for example, 9634776 + ... + 9634888.

Almost surely, 21088736016 is an apocalyptic number.

1088736016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1088736016 is the 32996-th square number.

It is an amenable number.

1088736016 is a deficient number, since it is larger than the sum of its proper divisors (1069076303).

1088736016 is an frugal number, since it uses more digits than its factorization.

1088736016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The cubic root of 1088736016 is about 1028.7445085428.

The spelling of 1088736016 in words is "one billion, eighty-eight million, seven hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 8 16 73 113 146 226 292 452 584 904 1168 1808 5329 8249 10658 12769 16498 21316 25538 32996 42632 51076 65992 85264 102152 131984 204304 602177 932137 1204354 1864274 2408708 3728548 4817416 7457096 9634832 14914192 68046001 136092002 272184004 544368008 1088736016