Search a number
-
+
10354020 = 22351710151
BaseRepresentation
bin100111011111…
…110101100100
3201111001001020
4213133311210
510122312040
61005531140
7154002435
oct47376544
921431036
1010354020
115932146
123573ab0
1321b6a51
14153748c
15d97cd0
hex9dfd64

10354020 has 48 divisors (see below), whose sum is σ = 30699648. Its totient is φ = 2598400.

The previous prime is 10354009. The next prime is 10354021. The reversal of 10354020 is 2045301.

It is a super-3 number, since 3×103540203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10354021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4056 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (639576).

Almost surely, 210354020 is an apocalyptic number.

10354020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10354020 is an abundant number, since it is smaller than the sum of its proper divisors (20345628).

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

10354020 is a wasteful number, since it uses less digits than its factorization.

10354020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10354020 is about 3217.7663059955. The cubic root of 10354020 is about 217.9564203211.

Adding to 10354020 its reverse (2045301), we get a palindrome (12399321).

The spelling of 10354020 in words is "ten million, three hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 10151 20302 30453 40604 50755 60906 101510 121812 152265 172567 203020 304530 345134 517701 609060 690268 862835 1035402 1725670 2070804 2588505 3451340 5177010 10354020