Search a number
-
+
2355072 = 2736133
BaseRepresentation
bin1000111110111110000000
311102122112220
420332332000
51100330242
6122251040
726006046
oct10767600
94378486
102355072
111369445
12956a80
13645c45
14454396
15317bec
hex23ef80

2355072 has 32 divisors (see below), whose sum is σ = 6256680. Its totient is φ = 784896.

The previous prime is 2355047. The next prime is 2355079. The reversal of 2355072 is 2705532.

2355072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 212 + 36 + 58 + 59 + 0 + 74 + 212 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355079) 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 3 ways as a sum of consecutive naturals, for example, 2683 + ... + 3450.

22355072 is an apocalyptic number.

It is an amenable number.

2355072 is an abundant number, since it is smaller than the sum of its proper divisors (3901608).

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

2355072 is an equidigital number, since it uses as much as digits as its factorization.

2355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2355072 is about 1534.6243840106. The cubic root of 2355072 is about 133.0458695687.

The spelling of 2355072 in words is "two million, three hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 6133 12266 18399 24532 36798 49064 73596 98128 147192 196256 294384 392512 588768 785024 1177536 2355072