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1105745424 = 24372326221
BaseRepresentation
bin100000111101000…
…0101011000010000
32212001122200120020
41001322011120100
54231032323144
6301415543440
736254452410
oct10172053020
92761580506
101105745424
115181899a3
1226a38ab80
13148112b44
14a6bd6640
156711d419
hex41e85610

1105745424 has 120 divisors (see below), whose sum is σ = 3413239872. Its totient is φ = 302142720.

The previous prime is 1105745419. The next prime is 1105745513. The reversal of 1105745424 is 4245475011.

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 23 ways as a sum of consecutive naturals, for example, 174634 + ... + 180854.

Almost surely, 21105745424 is an apocalyptic number.

1105745424 is a gapful number since it is divisible by the number (14) 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 1105745424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706619936).

1105745424 is an abundant number, since it is smaller than the sum of its proper divisors (2307494448).

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

1105745424 is a wasteful number, since it uses less digits than its factorization.

1105745424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 1105745424 is about 33252.7506230688. The cubic root of 1105745424 is about 1034.0742339146.

The spelling of 1105745424 in words is "one billion, one hundred five million, seven hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 529 552 644 966 1058 1104 1288 1587 1932 2116 2576 3174 3703 3864 4232 6221 6348 7406 7728 8464 11109 12442 12696 14812 18663 22218 24884 25392 29624 37326 43547 44436 49768 59248 74652 87094 88872 99536 130641 143083 149304 174188 177744 261282 286166 298608 348376 429249 522564 572332 696752 858498 1001581 1045128 1144664 1716996 2003162 2090256 2289328 3004743 3290909 3433992 4006324 6009486 6581818 6867984 8012648 9872727 12018972 13163636 16025296 19745454 23036363 24037944 26327272 39490908 46072726 48075888 52654544 69109089 78981816 92145452 138218178 157963632 184290904 276436356 368581808 552872712 1105745424