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1102080040 = 2352921812
BaseRepresentation
bin100000110110000…
…0110100000101000
32211210202110121021
41001230012200220
54224113030130
6301205222224
736211345225
oct10154064050
92753673537
101102080040
11516106056
12269101974
1314742b689
14a652094c
1566b4737a
hex41b06828

1102080040 has 72 divisors (see below), whose sum is σ = 2582401770. Its totient is φ = 423279360.

The previous prime is 1102080019. The next prime is 1102080043. The reversal of 1102080040 is 400802011.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 118504996 + 983575044 = 10886^2 + 31362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1102079996 and 1102080023.

It is not an unprimeable number, because it can be changed into a prime (1102080043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6088750 + ... + 6088930.

Almost surely, 21102080040 is an apocalyptic number.

1102080040 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 1102080040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291200885).

1102080040 is an abundant number, since it is smaller than the sum of its proper divisors (1480321730).

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

1102080040 is an equidigital number, since it uses as much as digits as its factorization.

1102080040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1102080040 is about 33197.5908764476. The cubic root of 1102080040 is about 1032.9303675621.

Adding to 1102080040 its reverse (400802011), we get a palindrome (1502882051).

The spelling of 1102080040 in words is "one billion, one hundred two million, eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 181 232 290 362 580 724 841 905 1160 1448 1682 1810 3364 3620 4205 5249 6728 7240 8410 10498 16820 20996 26245 32761 33640 41992 52490 65522 104980 131044 152221 163805 209960 262088 304442 327610 608884 655220 761105 950069 1217768 1310440 1522210 1900138 3044420 3800276 4750345 6088840 7600552 9500690 19001380 27552001 38002760 55104002 110208004 137760005 220416008 275520010 551040020 1102080040