Search a number
-
+
1105785108 = 2236372277
BaseRepresentation
bin100000111101000…
…1111000100010100
32212001201201000000
41001322033010110
54231040110413
6301420451300
736255006201
oct10172170424
92761651000
101105785108
1151820679a
1226a3a9b30
13148127c1c
14a6c06ca8
156712a073
hex41e8f114

1105785108 has 126 divisors (see below), whose sum is σ = 2992658046. Its totient is φ = 357338304.

The previous prime is 1105785103. The next prime is 1105785113. The reversal of 1105785108 is 8015875011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1105785103) and next prime (1105785113).

It can be written as a sum of positive squares in 3 ways, for example, as 425514384 + 680270724 = 20628^2 + 26082^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105785101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3991866 + ... + 3992142.

Almost surely, 21105785108 is an apocalyptic number.

1105785108 is a gapful number since it is divisible by the number (18) 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 1105785108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496329023).

1105785108 is an abundant number, since it is smaller than the sum of its proper divisors (1886872938).

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

1105785108 is an equidigital number, since it uses as much as digits as its factorization.

1105785108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The square root of 1105785108 is about 33253.3473202323. The cubic root of 1105785108 is about 1034.0866043662.

The spelling of 1105785108 in words is "one billion, one hundred five million, seven hundred eighty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 277 324 333 444 486 554 666 729 831 972 999 1108 1332 1369 1458 1662 1998 2493 2738 2916 2997 3324 3996 4107 4986 5476 5994 7479 8214 8991 9972 10249 11988 12321 14958 16428 17982 20498 22437 24642 26973 29916 30747 35964 36963 40996 44874 49284 53946 61494 67311 73926 89748 92241 107892 110889 122988 134622 147852 184482 201933 221778 269244 276723 332667 368964 379213 403866 443556 553446 665334 758426 807732 830169 998001 1106892 1137639 1330668 1516852 1660338 1996002 2275278 2490507 3320676 3412917 3992004 4550556 4981014 6825834 7471521 9962028 10238751 13651668 14943042 20477502 29886084 30716253 40955004 61432506 92148759 122865012 184297518 276446277 368595036 552892554 1105785108