Search a number
-
+
2975440 = 245132861
BaseRepresentation
bin1011010110011011010000
312121011112111
423112123100
51230203230
6143435104
734201516
oct13263320
95534474
102975440
111752546
12bb5a94
13802420
145764b6
153db92a
hex2d66d0

2975440 has 40 divisors (see below), whose sum is σ = 7452648. Its totient is φ = 1098240.

The previous prime is 2975417. The next prime is 2975443. The reversal of 2975440 is 445792.

2975440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 2903616 = 268^2 + 1704^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975443) 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 7 ways as a sum of consecutive naturals, for example, 391 + ... + 2470.

22975440 is an apocalyptic number.

2975440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2975440 is an abundant number, since it is smaller than the sum of its proper divisors (4477208).

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

2975440 is a wasteful number, since it uses less digits than its factorization.

2975440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2975440 is about 1724.9463759781. The cubic root of 2975440 is about 143.8303042170.

The spelling of 2975440 in words is "two million, nine hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2861 5722 11444 14305 22888 28610 37193 45776 57220 74386 114440 148772 185965 228880 297544 371930 595088 743860 1487720 2975440