Search a number
-
+
275820861420 = 2234513107122401
BaseRepresentation
bin1000000001110000011…
…01000101011111101100
3222100221102121112010000
410000320031011133230
514004340120031140
6330413234144300
725633045432056
oct4007015053754
9870842545100
10275820861420
11a6a7a75a645
1245557a22090
13200186a0810
14d4c7bd48d6
157294ad4a30
hex40383457ec

275820861420 has 240 divisors, whose sum is σ = 940535009568. Its totient is φ = 67259289600.

The previous prime is 275820861419. The next prime is 275820861439. The reversal of 275820861420 is 24168028572.

275820861420 is a `hidden beast` number, since 2 + 7 + 5 + 8 + 2 + 0 + 8 + 614 + 20 = 666.

275820861420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2758208614204 (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2192220 + ... + 2314620.

Almost surely, 2275820861420 is an apocalyptic number.

275820861420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275820861420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470267504784).

275820861420 is an abundant number, since it is smaller than the sum of its proper divisors (664714148148).

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

275820861420 is a wasteful number, since it uses less digits than its factorization.

275820861420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122542 (or 122531 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

Adding to 275820861420 its reverse (24168028572), we get a palindrome (299988889992).

The spelling of 275820861420 in words is "two hundred seventy-five billion, eight hundred twenty million, eight hundred sixty-one thousand, four hundred twenty".