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1104414120 = 233253067817
BaseRepresentation
bin100000111010100…
…0000010110101000
32211222011001100200
41001311000112220
54230212222440
6301331232200
736240236145
oct10165002650
92758131320
101104414120
1151745a747
12269a48660
13147a67ba4
14a696b3cc
1566e58c30
hex41d405a8

1104414120 has 48 divisors (see below), whose sum is σ = 3589347060. Its totient is φ = 294510336.

The previous prime is 1104414109. The next prime is 1104414149. The reversal of 1104414120 is 214144011.

It can be written as a sum of positive squares in 2 ways, for example, as 1006285284 + 98128836 = 31722^2 + 9906^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1104414093 and 1104414102.

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 11 ways as a sum of consecutive naturals, for example, 1533549 + ... + 1534268.

Almost surely, 21104414120 is an apocalyptic number.

1104414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104414120 is an abundant number, since it is smaller than the sum of its proper divisors (2484932940).

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

1104414120 is a wasteful number, since it uses less digits than its factorization.

1104414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067834 (or 3067827 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1104414120 is about 33232.7266410687. The cubic root of 1104414120 is about 1033.6590629959.

Adding to 1104414120 its reverse (214144011), we get a palindrome (1318558131).

The spelling of 1104414120 in words is "one billion, one hundred four million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3067817 6135634 9203451 12271268 15339085 18406902 24542536 27610353 30678170 36813804 46017255 55220706 61356340 73627608 92034510 110441412 122712680 138051765 184069020 220882824 276103530 368138040 552207060 1104414120