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2087407540 = 225372820821
BaseRepresentation
bin111110001101011…
…0100111110110100
312101110211021211101
41330122310332310
513233334020130
6543044215444
7102504446161
oct17432647664
95343737741
102087407540
119813181a9
124a309a584
132735cc2ba
1415b32d068
15c33cb1ca
hex7c6b4fb4

2087407540 has 24 divisors (see below), whose sum is σ = 4502031912. Its totient is φ = 812396160.

The previous prime is 2087407499. The next prime is 2087407549. The reversal of 2087407540 is 457047802.

It can be written as a sum of positive squares in 4 ways, for example, as 1013403556 + 1074003984 = 31834^2 + 32772^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2087407540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087407549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1409671 + ... + 1411150.

It is an arithmetic number, because the mean of its divisors is an integer number (187584663).

Almost surely, 22087407540 is an apocalyptic number.

2087407540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2087407540 is an abundant number, since it is smaller than the sum of its proper divisors (2414624372).

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

2087407540 is a wasteful number, since it uses less digits than its factorization.

2087407540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820867 (or 2820865 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 2087407540 is about 45688.1553578168. The cubic root of 2087407540 is about 1278.0144059870.

The spelling of 2087407540 in words is "two billion, eighty-seven million, four hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2820821 5641642 11283284 14104105 28208210 56416420 104370377 208740754 417481508 521851885 1043703770 2087407540