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1105772840 = 235239712391
BaseRepresentation
bin100000111101000…
…1100000100101000
32212001201002011122
41001322030010220
54231034212330
6301420314412
736254625344
oct10172140450
92761632148
101105772840
115181a8557
1226a3a2a08
13148122473
14a6c02624
15671265e5
hex41e8c128

1105772840 has 64 divisors (see below), whose sum is σ = 2623138560. Its totient is φ = 418682880.

The previous prime is 1105772839. The next prime is 1105772851. The reversal of 1105772840 is 482775011.

It is a self number, because there is not a number n which added to its sum of digits gives 1105772840.

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 15 ways as a sum of consecutive naturals, for example, 83045 + ... + 95435.

It is an arithmetic number, because the mean of its divisors is an integer number (40986540).

Almost surely, 21105772840 is an apocalyptic number.

1105772840 is a gapful number since it is divisible by the number (10) 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 1105772840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311569280).

1105772840 is an abundant number, since it is smaller than the sum of its proper divisors (1517365720).

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

1105772840 is a wasteful number, since it uses less digits than its factorization.

1105772840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 1105772840 is about 33253.1628570877. The cubic root of 1105772840 is about 1034.0827801689.

The spelling of 1105772840 in words is "one billion, one hundred five million, seven hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 97 115 184 194 230 388 460 485 776 920 970 1940 2231 3880 4462 8924 11155 12391 17848 22310 24782 44620 49564 61955 89240 99128 123910 247820 284993 495640 569986 1139972 1201927 1424965 2279944 2403854 2849930 4807708 5699860 6009635 9615416 11399720 12019270 24038540 27644321 48077080 55288642 110577284 138221605 221154568 276443210 552886420 1105772840