Search a number
-
+
211210320 = 2435880043
BaseRepresentation
bin11001001011011…
…01000001010000
3112201102121002110
430211231001100
5413032212240
632542545320
75143154346
oct1445550120
9481377073
10211210320
11a924a492
125a898240
13349b0a29
142009d996
1513820c80
hexc96d050

211210320 has 40 divisors (see below), whose sum is σ = 654752736. Its totient is φ = 56322688.

The previous prime is 211210313. The next prime is 211210333. The reversal of 211210320 is 23012112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211210296 and 211210305.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 439782 + ... + 440261.

Almost surely, 2211210320 is an apocalyptic number.

211210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210320 is an abundant number, since it is smaller than the sum of its proper divisors (443542416).

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

211210320 is a wasteful number, since it uses less digits than its factorization.

211210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880059 (or 880053 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211210320 is about 14533.0767561449. The cubic root of 211210320 is about 595.5319208173.

Adding to 211210320 its reverse (23012112), we get a palindrome (234222432).

The spelling of 211210320 in words is "two hundred eleven million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 880043 1760086 2640129 3520172 4400215 5280258 7040344 8800430 10560516 13200645 14080688 17600860 21121032 26401290 35201720 42242064 52802580 70403440 105605160 211210320