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2042960 = 24525537
BaseRepresentation
bin111110010110001010000
310211210102012
413302301100
51010333320
6111442052
723236103
oct7626120
93753365
102042960
1111759a7
12826328
13566b6a
143b273a
152a54c5
hex1f2c50

2042960 has 20 divisors (see below), whose sum is σ = 4750068. Its totient is φ = 817152.

The previous prime is 2042933. The next prime is 2042969. The reversal of 2042960 is 692402.

It can be written as a sum of positive squares in 2 ways, for example, as 1459264 + 583696 = 1208^2 + 764^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12689 + ... + 12848.

22042960 is an apocalyptic number.

2042960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042960 is an abundant number, since it is smaller than the sum of its proper divisors (2707108).

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

2042960 is a wasteful number, since it uses less digits than its factorization.

2042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25550 (or 25544 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2042960 is about 1429.3215173641. The cubic root of 2042960 is about 126.8878253918.

The spelling of 2042960 in words is "two million, forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25537 51074 102148 127685 204296 255370 408592 510740 1021480 2042960