Search a number
-
+
110464020 = 22335204563
BaseRepresentation
bin1101001010110…
…00110000010100
321200212011011000
412211120300110
5211234322040
614543343300
72510633352
oct645306024
9250764130
10110464020
1157399287
1230bb1b30
1319b68634
14109567d2
159a70130
hex6958c14

110464020 has 48 divisors (see below), whose sum is σ = 343667520. Its totient is φ = 29456928.

The previous prime is 110463973. The next prime is 110464021. The reversal of 110464020 is 20464011.

110464020 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 640 + 20 = 666.

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 = 110463984 and 110464002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110464021) by changing a digit.

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, 101742 + ... + 102821.

It is an arithmetic number, because the mean of its divisors is an integer number (7159740).

Almost surely, 2110464020 is an apocalyptic number.

110464020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110464020 is an abundant number, since it is smaller than the sum of its proper divisors (233203500).

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

110464020 is a wasteful number, since it uses less digits than its factorization.

110464020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204581 (or 204573 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 110464020 is about 10510.1864874035. The cubic root of 110464020 is about 479.8147722815.

Subtracting from 110464020 its reverse (20464011), we obtain a palindrome (90000009).

The spelling of 110464020 in words is "one hundred ten million, four hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 204563 409126 613689 818252 1022815 1227378 1841067 2045630 2454756 3068445 3682134 4091260 5523201 6136890 7364268 9205335 11046402 12273780 18410670 22092804 27616005 36821340 55232010 110464020