Search a number
-
+
2045553040 = 245211312101
BaseRepresentation
bin111100111101100…
…1010100110010000
312021120001212020201
41321323022212100
513142130144130
6534551144544
7101455625326
oct17173124620
95246055221
102045553040
1195a730303
12491075154
13267a3661b
14155955d16
15be8aebca
hex79eca990

2045553040 has 40 divisors (see below), whose sum is σ = 4758554808. Its totient is φ = 817766400.

The previous prime is 2045553031. The next prime is 2045553049. The reversal of 2045553040 is 403555402.

It is an interprime number because it is at equal distance from previous prime (2045553031) and next prime (2045553049).

It can be written as a sum of positive squares in 4 ways, for example, as 212343184 + 1833209856 = 14572^2 + 42816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2045553049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162990 + ... + 175090.

Almost surely, 22045553040 is an apocalyptic number.

2045553040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045553040 is an abundant number, since it is smaller than the sum of its proper divisors (2713001768).

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

2045553040 is a wasteful number, since it uses less digits than its factorization.

2045553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 2045553040 is about 45227.7905717270. The cubic root of 2045553040 is about 1269.4148708842.

The spelling of 2045553040 in words is "two billion, forty-five million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2113 4226 8452 10565 12101 16904 21130 24202 33808 42260 48404 60505 84520 96808 121010 169040 193616 242020 484040 968080 25569413 51138826 102277652 127847065 204555304 255694130 409110608 511388260 1022776520 2045553040