Search a number
-
+
10780020 = 2233519963
BaseRepresentation
bin101001000111…
…110101110100
3202021200102000
4221013311310
510224430040
61023015300
7160425426
oct51076564
922250360
1010780020
1160a3209
12373a530
132305914
141608816
15e2e130
hexa47d74

10780020 has 48 divisors (see below), whose sum is σ = 33539520. Its totient is φ = 2874528.

The previous prime is 10779997. The next prime is 10780027. The reversal of 10780020 is 2008701.

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 = 10779975 and 10780002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10780027) 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 15 ways as a sum of consecutive naturals, for example, 9442 + ... + 10521.

It is an arithmetic number, because the mean of its divisors is an integer number (698740).

Almost surely, 210780020 is an apocalyptic number.

10780020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10780020 is an abundant number, since it is smaller than the sum of its proper divisors (22759500).

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

10780020 is a wasteful number, since it uses less digits than its factorization.

10780020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19981 (or 19973 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10780020 is about 3283.2940775995. The cubic root of 10780020 is about 220.9054966092.

Adding to 10780020 its reverse (2008701), we get a palindrome (12788721).

The spelling of 10780020 in words is "ten million, seven hundred eighty 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 19963 39926 59889 79852 99815 119778 179667 199630 239556 299445 359334 399260 539001 598890 718668 898335 1078002 1197780 1796670 2156004 2695005 3593340 5390010 10780020