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1685938968 = 233373135969
BaseRepresentation
bin110010001111101…
…0110001100011000
311100111101120111000
41210133112030120
511423100021333
6435143305000
756531146650
oct14437261430
94314346430
101685938968
1179573999a
123b074b160
1320b39542c
1411dca5360
159d027713
hex647d6318

1685938968 has 128 divisors (see below), whose sum is σ = 5524992000. Its totient is φ = 466145280.

The previous prime is 1685938963. The next prime is 1685938979. The reversal of 1685938968 is 8698395861.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685938963) 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, 28888 + ... + 64856.

It is an arithmetic number, because the mean of its divisors is an integer number (43164000).

Almost surely, 21685938968 is an apocalyptic number.

1685938968 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 1685938968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762496000).

1685938968 is an abundant number, since it is smaller than the sum of its proper divisors (3839053032).

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

1685938968 is a wasteful number, since it uses less digits than its factorization.

1685938968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36022 (or 36012 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The square root of 1685938968 is about 41060.1871403431. The cubic root of 1685938968 is about 1190.1835670023.

The spelling of 1685938968 in words is "one billion, six hundred eighty-five million, nine hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6696 7812 11718 15624 23436 35969 46872 71938 107907 143876 215814 251783 287752 323721 431628 503566 647442 755349 863256 971163 1007132 1115039 1294884 1510698 1942326 2014264 2230078 2266047 2589768 3021396 3345117 3884652 4460156 4532094 6042792 6690234 6798141 7769304 7805273 8920312 9064188 10035351 13380468 13596282 15610546 18128376 20070702 23415819 26760936 27192564 30106053 31221092 40141404 46831638 54385128 60212106 62442184 70247457 80282808 93663276 120424212 140494914 187326552 210742371 240848424 280989828 421484742 561979656 842969484 1685938968