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2052431120 = 24532577877
BaseRepresentation
bin111101001010101…
…1001110100010000
312022001000022012102
41322111121310100
513200410243440
6535354415532
7101601243125
oct17225316420
95261008172
102052431120
119635a8973
124934315a8
132692a41ac
1415682674c
15c02bcb15
hex7a559d10

2052431120 has 40 divisors (see below), whose sum is σ = 4773973464. Its totient is φ = 820616192.

The previous prime is 2052431119. The next prime is 2052431137. The reversal of 2052431120 is 211342502.

It can be written as a sum of positive squares in 4 ways, for example, as 213393664 + 1839037456 = 14608^2 + 42884^2 .

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 a junction number, because it is equal to n+sod(n) for n = 2052431092 and 2052431101.

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, 256622 + ... + 264498.

Almost surely, 22052431120 is an apocalyptic number.

2052431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052431120 is an abundant number, since it is smaller than the sum of its proper divisors (2721542344).

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

2052431120 is a wasteful number, since it uses less digits than its factorization.

2052431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2052431120 is about 45303.7649649563. The cubic root of 2052431120 is about 1270.8360626249.

Adding to 2052431120 its reverse (211342502), we get a palindrome (2263773622).

The spelling of 2052431120 in words is "two billion, fifty-two million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3257 6514 7877 13028 15754 16285 26056 31508 32570 39385 52112 63016 65140 78770 126032 130280 157540 260560 315080 630160 25655389 51310778 102621556 128276945 205243112 256553890 410486224 513107780 1026215560 2052431120