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981937068 = 2237217234271
BaseRepresentation
bin111010100001110…
…010101110101100
32112102200120102120
4322201302232230
54002333441233
6241234152540
733222220200
oct7241625654
92472616376
10981937068
11464306942
12234a22750
13128584668
14945a8b00
155b3144b3
hex3a872bac

981937068 has 144 divisors (see below), whose sum is σ = 2945424384. Its totient is φ = 252510720.

The previous prime is 981937039. The next prime is 981937109. The reversal of 981937068 is 860739189.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 981937068.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227773 + ... + 232043.

It is an arithmetic number, because the mean of its divisors is an integer number (20454336).

Almost surely, 2981937068 is an apocalyptic number.

981937068 is a gapful number since it is divisible by the number (98) 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 981937068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472712192).

981937068 is an abundant number, since it is smaller than the sum of its proper divisors (1963487316).

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

981937068 is a wasteful number, since it uses less digits than its factorization.

981937068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 981937068 is about 31335.8750954876. The cubic root of 981937068 is about 993.9424022699.

The spelling of 981937068 in words is "nine hundred eighty-one million, nine hundred thirty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 49 51 68 69 84 92 98 102 119 138 147 161 196 204 238 276 294 322 357 391 476 483 588 644 714 782 833 966 1127 1173 1428 1564 1666 1932 2254 2346 2499 2737 3332 3381 4271 4508 4692 4998 5474 6762 8211 8542 9996 10948 12813 13524 16422 17084 19159 25626 29897 32844 38318 51252 57477 59794 72607 76636 89691 98233 114954 119588 145214 179382 196466 209279 217821 229908 290428 294699 358764 392932 418558 435642 508249 589398 627837 687631 837116 871284 1016498 1178796 1255674 1375262 1524747 1669961 2032996 2062893 2511348 2750524 3049494 3339922 3557743 4125786 4813417 5009883 6098988 6679844 7115486 8251572 9626834 10019766 10673229 11689727 14230972 14440251 19253668 20039532 21346458 23379454 28880502 35069181 42692916 46758908 57761004 70138362 81828089 140276724 163656178 245484267 327312356 490968534 981937068