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1481067216 = 243273140893
BaseRepresentation
bin101100001000111…
…0100101011010000
310211012220000021100
41120101310223100
511013123122331
6402544224400
751462602136
oct13021645320
93735800240
101481067216
116a00297a2
1235400b100
131a7ac3845
141009b5756
158a059ae6
hex58474ad0

1481067216 has 60 divisors (see below), whose sum is σ = 4201740868. Its totient is φ = 486922752.

The previous prime is 1481067209. The next prime is 1481067229. The reversal of 1481067216 is 6127601841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1176215616 + 304851600 = 34296^2 + 17460^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59935 + ... + 80958.

Almost surely, 21481067216 is an apocalyptic number.

1481067216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1481067216 is an abundant number, since it is smaller than the sum of its proper divisors (2720673652).

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

1481067216 is a wasteful number, since it uses less digits than its factorization.

1481067216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140980 (or 140971 counting only the distinct ones).

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

The square root of 1481067216 is about 38484.6361032555. The cubic root of 1481067216 is about 1139.8776969440.

The spelling of 1481067216 in words is "one billion, four hundred eighty-one million, sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 140893 281786 422679 563572 845358 1127144 1268037 1690716 2254288 2536074 3381432 5072148 6762864 10144296 10285189 20288592 20570378 30855567 41140756 61711134 82281512 92566701 123422268 164563024 185133402 246844536 370266804 493689072 740533608 1481067216