Search a number
-
+
2077520 = 24525969
BaseRepresentation
bin111111011001101010000
310220112211012
413323031100
51012440040
6112310052
723441624
oct7731520
93815735
102077520
111199965
12842328
13579803
143c1184
152b0865
hex1fb350

2077520 has 20 divisors (see below), whose sum is σ = 4830420. Its totient is φ = 830976.

The previous prime is 2077499. The next prime is 2077549. The reversal of 2077520 is 257702.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 1547536 = 728^2 + 1244^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12905 + ... + 13064.

It is an arithmetic number, because the mean of its divisors is an integer number (241521).

22077520 is an apocalyptic number.

2077520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2077520 is an abundant number, since it is smaller than the sum of its proper divisors (2752900).

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

2077520 is a wasteful number, since it uses less digits than its factorization.

2077520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25982 (or 25976 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 2077520 is about 1441.3604684464. The cubic root of 2077520 is about 127.5993330743.

The spelling of 2077520 in words is "two million, seventy-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25969 51938 103876 129845 207752 259690 415504 519380 1038760 2077520