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1105785144 = 233228354269
BaseRepresentation
bin100000111101000…
…1111000100111000
32212001201201001100
41001322033010320
54231040111034
6301420451400
736255006252
oct10172170470
92761651040
101105785144
11518206822
1226a3a9b60
13148127c49
14a6c06cd2
156712a099
hex41e8f138

1105785144 has 48 divisors (see below), whose sum is σ = 3005472600. Its totient is φ = 367285824.

The previous prime is 1105785143. The next prime is 1105785151. The reversal of 1105785144 is 4415875011.

It is a super-2 number, since 2×11057851442 = 2445521569382201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1105785099 and 1105785108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105785143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6759 + ... + 47510.

Almost surely, 21105785144 is an apocalyptic number.

It is an amenable number.

1105785144 is an abundant number, since it is smaller than the sum of its proper divisors (1899687456).

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

1105785144 is a wasteful number, since it uses less digits than its factorization.

1105785144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54564 (or 54557 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 1105785144 is about 33253.3478615312. The cubic root of 1105785144 is about 1034.0866155882.

The spelling of 1105785144 in words is "one billion, one hundred five million, seven hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283 566 849 1132 1698 2264 2547 3396 5094 6792 10188 20376 54269 108538 162807 217076 325614 434152 488421 651228 976842 1302456 1953684 3907368 15358127 30716254 46074381 61432508 92148762 122865016 138223143 184297524 276446286 368595048 552892572 1105785144