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1106366352 = 2437131913331
BaseRepresentation
bin100000111110001…
…1100111110010000
32212002211020022120
41001330130332100
54231212210402
6301441134240
736262646610
oct10174347620
92762736276
101106366352
11518573463
1226a62a380
1314829c660
14a6d18a40
15671e23bc
hex41f1cf90

1106366352 has 160 divisors (see below), whose sum is σ = 3703096320. Its totient is φ = 276410880.

The previous prime is 1106366321. The next prime is 1106366353. The reversal of 1106366352 is 2536636011.

It is not an unprimeable number, because it can be changed into a prime (1106366353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76327 + ... + 89657.

It is an arithmetic number, because the mean of its divisors is an integer number (23144352).

Almost surely, 21106366352 is an apocalyptic number.

1106366352 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 1106366352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851548160).

1106366352 is an abundant number, since it is smaller than the sum of its proper divisors (2596729968).

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

1106366352 is a wasteful number, since it uses less digits than its factorization.

1106366352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13381 (or 13375 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1106366352 is about 33262.0858035091. The cubic root of 1106366352 is about 1034.2677581147.

The spelling of 1106366352 in words is "one billion, one hundred six million, three hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13331 13832 20748 26662 27664 39993 41496 53324 79986 82992 93317 106648 159972 173303 186634 213296 253289 279951 319944 346606 373268 506578 519909 559902 639888 693212 746536 759867 1013156 1039818 1119804 1213121 1386424 1493072 1519734 1773023 2026312 2079636 2239608 2426242 2772848 3039468 3292757 3546046 3639363 4052624 4159272 4479216 4852484 5319069 6078936 6585514 7092092 7278726 8318544 9704968 9878271 10638138 12157872 13171028 14184184 14557452 19409936 19756542 21276276 23049299 26342056 28368368 29114904 39513084 42552552 46098598 52684112 58229808 69147897 79026168 85105104 92197196 138295794 158052336 184394392 276591588 368788784 553183176 1106366352