Search a number
-
+
1243047168 = 28331116349
BaseRepresentation
bin100101000010111…
…0110010100000000
310012122000100011000
41022011312110000
510021210002133
6323202452000
742542504136
oct11205662400
93178010130
101243047168
11588738810
122a8364000
1316a6b6c8c
14bb137756
15741e0413
hex4a176500

1243047168 has 144 divisors (see below), whose sum is σ = 4010328000. Its totient is φ = 376657920.

The previous prime is 1243047163. The next prime is 1243047229. The reversal of 1243047168 is 8617403421.

1243047168 is a `hidden beast` number, since 124 + 3 + 0 + 471 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243047161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67858 + ... + 84206.

It is an arithmetic number, because the mean of its divisors is an integer number (27849500).

Almost surely, 21243047168 is an apocalyptic number.

1243047168 is a gapful number since it is divisible by the number (18) 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 1243047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005164000).

1243047168 is an abundant number, since it is smaller than the sum of its proper divisors (2767280832).

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

1243047168 is a wasteful number, since it uses less digits than its factorization.

1243047168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16365 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1243047168 is about 35256.8740531545. The cubic root of 1243047168 is about 1075.2163741129.

The spelling of 1243047168 in words is "one billion, two hundred forty-three million, forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 16349 19008 25344 32698 38016 49047 65396 76032 98094 130792 147141 179839 196188 261584 294282 359678 392376 441423 523168 539517 588564 719356 784752 882846 1046336 1079034 1177128 1438712 1569504 1618551 1765692 2092672 2158068 2354256 2877424 3139008 3237102 3531384 4185344 4316136 4708512 4855653 5754848 6278016 6474204 7062768 8632272 9417024 9711306 11509696 12556032 12948408 14125536 17264544 18834048 19422612 23019392 25896816 28251072 34529088 37668096 38845224 46038784 51793632 56502144 69058176 77690448 103587264 113004288 138116352 155380896 207174528 310761792 414349056 621523584 1243047168