[go: up one dir, main page]

Search a number
-
+
211769440 = 2551969661
BaseRepresentation
bin11001001111101…
…01100001100000
3112202111000001121
430213311201200
5413203110230
633002542024
75151003421
oct1447654140
9482430047
10211769440
11a95a1573
125ab07914
1334b4837c
14201a7648
15138d177a
hexc9f5860

211769440 has 48 divisors (see below), whose sum is σ = 526644720. Its totient is φ = 80248320.

The previous prime is 211769431. The next prime is 211769447. The reversal of 211769440 is 44967112.

It is a junction number, because it is equal to n+sod(n) for n = 211769396 and 211769405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211769447) 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 7 ways as a sum of consecutive naturals, for example, 31791 + ... + 37870.

It is an arithmetic number, because the mean of its divisors is an integer number (10971765).

Almost surely, 2211769440 is an apocalyptic number.

211769440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211769440 is an abundant number, since it is smaller than the sum of its proper divisors (314875280).

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

211769440 is a wasteful number, since it uses less digits than its factorization.

211769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69695 (or 69687 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 211769440 is about 14552.3001618301. The cubic root of 211769440 is about 596.0569589573.

The spelling of 211769440 in words is "two hundred eleven million, seven hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 69661 139322 278644 348305 557288 696610 1114576 1323559 1393220 2229152 2647118 2786440 5294236 5572880 6617795 10588472 11145760 13235590 21176944 26471180 42353888 52942360 105884720 211769440