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1109024032 = 2529472541
BaseRepresentation
bin100001000011010…
…0101110100100000
32212021211020222011
41002012211310200
54232402232112
6302014122304
736324356134
oct10206456440
92767736864
101109024032
1151a019196
1226b4b0394
131489c024c
14a740b3c4
1567569aa7
hex421a5d20

1109024032 has 72 divisors (see below), whose sum is σ = 2312025660. Its totient is φ = 523031040.

The previous prime is 1109024029. The next prime is 1109024057. The reversal of 1109024032 is 2304209011.

It can be written as a sum of positive squares in 2 ways, for example, as 1107292176 + 1731856 = 33276^2 + 1316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1109023994 and 1109024012.

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 11 ways as a sum of consecutive naturals, for example, 2049682 + ... + 2050222.

Almost surely, 21109024032 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 1109024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156012830).

1109024032 is an abundant number, since it is smaller than the sum of its proper divisors (1203001628).

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

1109024032 is an equidigital number, since it uses as much as digits as its factorization.

1109024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1109024032 is about 33302.0124316835. The cubic root of 1109024032 is about 1035.0952581776.

The spelling of 1109024032 in words is "one billion, one hundred nine million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 376 464 541 752 928 1082 1363 1504 2164 2209 2726 4328 4418 5452 8656 8836 10904 15689 17312 17672 21808 25427 31378 35344 43616 50854 62756 64061 70688 101708 125512 128122 203416 251024 256244 406832 502048 512488 737383 813664 1024976 1195069 1474766 2049952 2390138 2949532 4780276 5899064 9560552 11798128 19121104 23596256 34657001 38242208 69314002 138628004 277256008 554512016 1109024032