Search a number
-
+
2047011540 = 223575239319
BaseRepresentation
bin111101000000010…
…1110101011010100
312021122210221221020
41322000232223110
513143013332130
6535042321140
7101504211450
oct17200565324
95248727836
102047011540
11960537082
124916591b0
13268127442
14155c15660
15bea9be10
hex7a02ead4

2047011540 has 96 divisors (see below), whose sum is σ = 6563665920. Its totient is φ = 466943616.

The previous prime is 2047011427. The next prime is 2047011559. The reversal of 2047011540 is 451107402.

2047011540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2047011540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215001 + ... + 224319.

It is an arithmetic number, because the mean of its divisors is an integer number (68371520).

Almost surely, 22047011540 is an apocalyptic number.

2047011540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281832960).

2047011540 is an abundant number, since it is smaller than the sum of its proper divisors (4516654380).

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

2047011540 is a wasteful number, since it uses less digits than its factorization.

2047011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9861 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2047011540 is about 45243.9116346056. The cubic root of 2047011540 is about 1269.7165010864.

Adding to 2047011540 its reverse (451107402), we get a palindrome (2498118942).

The spelling of 2047011540 in words is "two billion, forty-seven million, eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 523 1046 1569 2092 2615 3138 3661 5230 6276 7322 7845 9319 10460 10983 14644 15690 18305 18638 21966 27957 31380 36610 37276 43932 46595 54915 55914 65233 73220 93190 109830 111828 130466 139785 186380 195699 219660 260932 279570 326165 391398 559140 652330 782796 978495 1304660 1956990 3913980 4873837 9747674 14621511 19495348 24369185 29243022 34116859 48738370 58486044 68233718 73107555 97476740 102350577 136467436 146215110 170584295 204701154 292430220 341168590 409402308 511752885 682337180 1023505770 2047011540