Search a number
-
+
1101403360 = 25583197421
BaseRepresentation
bin100000110100110…
…0001010011100000
32211202111002101001
41001221201103200
54223424401420
6301142521344
736202526341
oct10151412340
92752432331
101101403360
11515793712
12268a36254
13147252685
14a63c60c8
1566a61b0a
hex41a614e0

1101403360 has 96 divisors (see below), whose sum is σ = 2653070112. Its totient is φ = 432015360.

The previous prime is 1101403357. The next prime is 1101403393. The reversal of 1101403360 is 633041011.

It is a super-2 number, since 2×11014033602 = 2426178722838579200, which contains 22 as substring.

It is a congruent number.

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, 2615950 + ... + 2616370.

It is an arithmetic number, because the mean of its divisors is an integer number (27636147).

Almost surely, 21101403360 is an apocalyptic number.

1101403360 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 1101403360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326535056).

1101403360 is an abundant number, since it is smaller than the sum of its proper divisors (1551666752).

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

1101403360 is a wasteful number, since it uses less digits than its factorization.

1101403360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1101403360 is about 33187.3976081283. The cubic root of 1101403360 is about 1032.7189169718.

Adding to 1101403360 its reverse (633041011), we get a palindrome (1734444371).

The spelling of 1101403360 in words is "one billion, one hundred one million, four hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 197 332 394 415 421 664 788 830 842 985 1328 1576 1660 1684 1970 2105 2656 3152 3320 3368 3940 4210 6304 6640 6736 7880 8420 13280 13472 15760 16351 16840 31520 32702 33680 34943 65404 67360 69886 81755 82937 130808 139772 163510 165874 174715 261616 279544 327020 331748 349430 414685 523232 559088 654040 663496 698860 829370 1118176 1308080 1326992 1397720 1658740 2616160 2653984 2795440 3317480 5590880 6634960 6883771 13269920 13767542 27535084 34418855 55070168 68837710 110140336 137675420 220280672 275350840 550701680 1101403360