Search a number
-
+
1105670412 = 223571121779
BaseRepresentation
bin100000111100111…
…0011000100001100
32212001111212200000
41001321303010030
54231022423122
6301414204300
736254020620
oct10171630414
92761455600
101105670412
11518138600
1226a353690
131480b7962
14a6bb7180
15671060ac
hex41e7310c

1105670412 has 432 divisors, whose sum is σ = 3903943680. Its totient is φ = 266872320.

The previous prime is 1105670399. The next prime is 1105670417. The reversal of 1105670412 is 2140765011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1105670417) 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 143 ways as a sum of consecutive naturals, for example, 13995789 + ... + 13995867.

Almost surely, 21105670412 is an apocalyptic number.

1105670412 is a gapful number since it is divisible by the number (12) 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 1105670412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951971840).

1105670412 is an abundant number, since it is smaller than the sum of its proper divisors (2798273268).

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

1105670412 is a wasteful number, since it uses less digits than its factorization.

1105670412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1105670412 is about 33251.6226972459. The cubic root of 1105670412 is about 1034.0508500721.

The spelling of 1105670412 in words is "one billion, one hundred five million, six hundred seventy thousand, four hundred twelve".