[go: up one dir, main page]

Search a number
-
+
10775370 = 235438353
BaseRepresentation
bin101001000110…
…101101001010
3202021110000210
4221012231022
510224302440
61022541550
7160406034
oct51065512
922243023
1010775370
11609a771
1237378b6
132303778
141606c54
15e2ca80
hexa46b4a

10775370 has 32 divisors (see below), whose sum is σ = 26465472. Its totient is φ = 2806272.

The previous prime is 10775357. The next prime is 10775371. The reversal of 10775370 is 7357701.

It is a super-3 number, since 3×107753703 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10775371) 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, 2887 + ... + 5466.

It is an arithmetic number, because the mean of its divisors is an integer number (827046).

Almost surely, 210775370 is an apocalyptic number.

10775370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10775370 is an abundant number, since it is smaller than the sum of its proper divisors (15690102).

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

10775370 is a wasteful number, since it uses less digits than its factorization.

10775370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406.

The product of its (nonzero) digits is 5145, while the sum is 30.

The square root of 10775370 is about 3282.5858709255. The cubic root of 10775370 is about 220.8737292503.

The spelling of 10775370 in words is "ten million, seven hundred seventy-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 8353 16706 25059 41765 50118 83530 125295 250590 359179 718358 1077537 1795895 2155074 3591790 5387685 10775370