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1126729728 = 2113261129
BaseRepresentation
bin100001100101000…
…1000100000000000
32220112010210121200
41003022020200000
54301420322403
6303445421200
736631021215
oct10312104000
92815123550
101126729728
115290117a3
1227540a800
1314c57c2a7
14a98d9b0c
1568db5ca3
hex43288800

1126729728 has 72 divisors (see below), whose sum is σ = 3254255550. Its totient is φ = 375570432.

The previous prime is 1126729711. The next prime is 1126729739. The reversal of 1126729728 is 8279276211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1109689344 + 17040384 = 33312^2 + 4128^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12133 + ... + 48996.

Almost surely, 21126729728 is an apocalyptic number.

1126729728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1126729728 is an abundant number, since it is smaller than the sum of its proper divisors (2127525822).

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

1126729728 is an equidigital number, since it uses as much as digits as its factorization.

1126729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61157 (or 61134 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1126729728 is about 33566.7950212706. The cubic root of 1126729728 is about 1040.5746725329.

The spelling of 1126729728 in words is "one billion, one hundred twenty-six million, seven hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 61129 122258 183387 244516 366774 489032 550161 733548 978064 1100322 1467096 1956128 2200644 2934192 3912256 4401288 5868384 7824512 8802576 11736768 15649024 17605152 23473536 31298048 35210304 46947072 62596096 70420608 93894144 125192192 140841216 187788288 281682432 375576576 563364864 1126729728