Search a number
-
+
2340136560 = 243553183973
BaseRepresentation
bin1000101101111011…
…1010011001110000
320001002101020212110
42023132322121300
514243033332220
61024113125320
7111663555366
oct21336723160
96032336773
102340136560
11aa0a45263
12553859840
132b3a88bb8
14182b19636
15da69dbe0
hex8b7ba670

2340136560 has 80 divisors (see below), whose sum is σ = 7391339424. Its totient is φ = 612258816.

The previous prime is 2340136559. The next prime is 2340136567. The reversal of 2340136560 is 656310432.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340136567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79267 + ... + 104706.

Almost surely, 22340136560 is an apocalyptic number.

2340136560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2340136560 is an abundant number, since it is smaller than the sum of its proper divisors (5051202864).

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

2340136560 is a wasteful number, since it uses less digits than its factorization.

2340136560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184042 (or 184036 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2340136560 is about 48374.9579844779. The cubic root of 2340136560 is about 1327.6402198309.

Adding to 2340136560 its reverse (656310432), we get a palindrome (2996446992).

The spelling of 2340136560 in words is "two billion, three hundred forty million, one hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 183973 367946 551919 735892 919865 1103838 1471784 1839730 2207676 2759595 2943568 3679460 4415352 5519190 7358920 8830704 9750569 11038380 14717840 19501138 22076760 29251707 39002276 44153520 48752845 58503414 78004552 97505690 117006828 146258535 156009104 195011380 234013656 292517070 390022760 468027312 585034140 780045520 1170068280 2340136560