Search a number
-
+
2545040 = 245291097
BaseRepresentation
bin1001101101010110010000
311210022010202
421231112100
51122420130
6130314332
730426641
oct11552620
94708122
102545040
111489143
12a289a8
136b1554
144a36c8
15354145
hex26d590

2545040 has 40 divisors (see below), whose sum is σ = 6126840. Its totient is φ = 982016.

The previous prime is 2545021. The next prime is 2545057. The reversal of 2545040 is 405452.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 2421136 = 352^2 + 1556^2 .

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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1772 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (153171).

22545040 is an apocalyptic number.

2545040 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 2545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063420).

2545040 is an abundant number, since it is smaller than the sum of its proper divisors (3581800).

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

2545040 is a wasteful number, since it uses less digits than its factorization.

2545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2545040 is about 1595.3181500879. The cubic root of 2545040 is about 136.5310837269.

The spelling of 2545040 in words is "two million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1097 1160 2194 2320 4388 5485 8776 10970 17552 21940 31813 43880 63626 87760 127252 159065 254504 318130 509008 636260 1272520 2545040