Search a number
-
+
2316005040 = 243531311291
BaseRepresentation
bin1000101000001011…
…0110111010110000
312222101222020122110
42022002312322300
514220344130130
61021452005320
7111251501166
oct21202667260
95871866573
102316005040
11a89362958
12547760840
132aba8a0ab
1417d837236
15d84d3ab0
hex8a0b6eb0

2316005040 has 80 divisors (see below), whose sum is σ = 7411239936. Its totient is φ = 597676800.

The previous prime is 2316005039. The next prime is 2316005051. The reversal of 2316005040 is 405006132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2316004998 and 2316005016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148206 + ... + 163085.

Almost surely, 22316005040 is an apocalyptic number.

2316005040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2316005040 is an abundant number, since it is smaller than the sum of its proper divisors (5095234896).

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

2316005040 is a wasteful number, since it uses less digits than its factorization.

2316005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311338 (or 311332 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2316005040 is about 48124.8900258484. The cubic root of 2316005040 is about 1323.0608948912.

The spelling of 2316005040 in words is "two billion, three hundred sixteen million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 311291 622582 933873 1245164 1556455 1867746 2490328 3112910 3735492 4669365 4980656 6225820 7470984 9338730 9650021 12451640 14941968 18677460 19300042 24903280 28950063 37354920 38600084 48250105 57900126 74709840 77200168 96500210 115800252 144750315 154400336 193000420 231600504 289500630 386000840 463201008 579001260 772001680 1158002520 2316005040