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1091035332 = 223429831399
BaseRepresentation
bin100000100000111…
…1110000011000100
32211000222100010000
41001001332003010
54213301112312
6300132401300
736015435012
oct10101760304
92730870100
101091035332
1150a951aa2
12265476230
1314506244a
14a4c878b2
1565bb4adc
hex4107e0c4

1091035332 has 120 divisors (see below), whose sum is σ = 2988216000. Its totient is φ = 346659264.

The previous prime is 1091035313. The next prime is 1091035349. The reversal of 1091035332 is 2335301901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1091035296 and 1091035305.

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 39 ways as a sum of consecutive naturals, for example, 779169 + ... + 780567.

It is an arithmetic number, because the mean of its divisors is an integer number (24901800).

Almost surely, 21091035332 is an apocalyptic number.

1091035332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091035332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494108000).

1091035332 is an abundant number, since it is smaller than the sum of its proper divisors (1897180668).

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

1091035332 is a wasteful number, since it uses less digits than its factorization.

1091035332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1091035332 is about 33030.8239679243. The cubic root of 1091035332 is about 1029.4682057003.

The spelling of 1091035332 in words is "one billion, ninety-one million, thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 83 87 108 116 162 166 174 249 261 324 332 348 498 522 747 783 996 1044 1399 1494 1566 2241 2349 2407 2798 2988 3132 4197 4482 4698 4814 5596 6723 7221 8394 8964 9396 9628 12591 13446 14442 16788 21663 25182 26892 28884 37773 40571 43326 50364 64989 75546 81142 86652 113319 116117 121713 129978 151092 162284 194967 226638 232234 243426 259956 348351 365139 389934 453276 464468 486852 696702 730278 779868 1045053 1095417 1393404 1460556 2090106 2190834 3135159 3286251 3367393 4180212 4381668 6270318 6572502 6734786 9405477 10102179 12540636 13145004 13469572 18810954 20204358 30306537 37621908 40408716 60613074 90919611 121226148 181839222 272758833 363678444 545517666 1091035332