Search a number
-
+
1689302142 = 234112997337
BaseRepresentation
bin110010010110000…
…1011010001111110
311100201201102220000
41210230023101332
511424430132032
6435343335130
756601555063
oct14454132176
94321642800
101689302142
11797626780
123b18b14a6
1320bca2188
141204dcc6a
159d48de7c
hex64b0b47e

1689302142 has 160 divisors (see below), whose sum is σ = 4328644320. Its totient is φ = 487710720.

The previous prime is 1689302051. The next prime is 1689302161. The reversal of 1689302142 is 2412039861.

1689302142 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1689302097 and 1689302106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5012598 + ... + 5012934.

It is an arithmetic number, because the mean of its divisors is an integer number (27054027).

Almost surely, 21689302142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689302142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164322160).

1689302142 is an abundant number, since it is smaller than the sum of its proper divisors (2639342178).

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

1689302142 is a wasteful number, since it uses less digits than its factorization.

1689302142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1689302142 is about 41101.1209336193. The cubic root of 1689302142 is about 1190.9744488805.

The spelling of 1689302142 in words is "one billion, six hundred eighty-nine million, three hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 97 99 162 174 194 198 261 291 297 319 337 522 582 594 638 674 783 873 891 957 1011 1067 1566 1746 1782 1914 2022 2134 2349 2619 2813 2871 3033 3201 3707 4698 5238 5626 5742 6066 6402 7414 7857 8439 8613 9099 9603 9773 11121 15714 16878 17226 18198 19206 19546 22242 25317 25839 27297 28809 29319 30943 32689 33363 50634 51678 54594 57618 58638 61886 65378 66726 75951 86427 87957 92829 98067 100089 107503 151902 172854 175914 185658 196134 200178 215006 227853 263871 278487 294201 300267 322509 359579 455706 527742 556974 588402 600534 645018 719158 791613 835461 882603 947981 967527 1078737 1583226 1670922 1765206 1895962 1935054 2157474 2506383 2647809 2843943 2902581 3236211 5012766 5295618 5687886 5805162 6472422 8531829 8707743 9708633 10427791 17063658 17415486 19417266 20855582 25595487 29125899 31283373 51190974 58251798 62566746 76786461 93850119 153572922 187700238 281550357 563100714 844651071 1689302142