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1678869072 = 243359199331
BaseRepresentation
bin110010000010001…
…1000001001010000
311100000002101102000
41210010120021100
511414242302242
6434331554000
756414103006
oct14404301120
94300071360
101678869072
11791750201
123aa2bb900
13209a8b46a
1411cd84a76
159c5cca4c
hex64118250

1678869072 has 160 divisors (see below), whose sum is σ = 4940160000. Its totient is φ = 545719680.

The previous prime is 1678869067. The next prime is 1678869079. The reversal of 1678869072 is 2709688761.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678869079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5071947 + ... + 5072277.

It is an arithmetic number, because the mean of its divisors is an integer number (30876000).

Almost surely, 21678869072 is an apocalyptic number.

1678869072 is a gapful number since it is divisible by the number (12) 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 1678869072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470080000).

1678869072 is an abundant number, since it is smaller than the sum of its proper divisors (3261290928).

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

1678869072 is a wasteful number, since it uses less digits than its factorization.

1678869072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1678869072 is about 40974.0048323324. The cubic root of 1678869072 is about 1188.5175787782.

The spelling of 1678869072 in words is "one billion, six hundred seventy-eight million, eight hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 199 216 236 331 354 398 432 472 531 597 662 708 796 944 993 1062 1194 1324 1416 1592 1593 1791 1986 2124 2388 2648 2832 2979 3184 3186 3582 3972 4248 4776 5296 5373 5958 6372 7164 7944 8496 8937 9552 10746 11741 11916 12744 14328 15888 17874 19529 21492 23482 23832 25488 28656 35223 35748 39058 42984 46964 47664 58587 65869 70446 71496 78116 85968 93928 105669 117174 131738 140892 142992 156232 175761 187856 197607 211338 234348 263476 281784 312464 317007 351522 395214 422676 468696 526952 527283 563568 592821 634014 703044 790428 845352 937392 1053904 1054566 1185642 1268028 1406088 1580856 1690704 1778463 2109132 2371284 2536056 2812176 3161712 3556926 3886271 4218264 4742568 5072112 7113852 7772542 8436528 9485136 11658813 14227704 15545084 23317626 28455408 31090168 34976439 46635252 62180336 69952878 93270504 104929317 139905756 186541008 209858634 279811512 419717268 559623024 839434536 1678869072