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6896896240 = 2451311358687
BaseRepresentation
bin1100110110001011…
…00100100011110000
3122210122201122000111
412123011210203300
5103111101134430
63100212231104
7332624436133
oct63305444360
918718648014
106896896240
112a1a133253
12140590b494
1385bb467c0
14495d9c21a
152a574ec2a
hex19b1648f0

6896896240 has 80 divisors (see below), whose sum is σ = 17421884928. Its totient is φ = 2523967488.

The previous prime is 6896896217. The next prime is 6896896271. The reversal of 6896896240 is 426986986.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×68968962402 = 95134355490652275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88177 + ... + 146863.

Almost surely, 26896896240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6896896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710942464).

6896896240 is an abundant number, since it is smaller than the sum of its proper divisors (10524988688).

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

6896896240 is a wasteful number, since it uses less digits than its factorization.

6896896240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58826 (or 58820 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The square root of 6896896240 is about 83047.5540880043. The cubic root of 6896896240 is about 1903.4927664553.

The spelling of 6896896240 in words is "six billion, eight hundred ninety-six million, eight hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 113 130 208 226 260 452 520 565 904 1040 1130 1469 1808 2260 2938 4520 5876 7345 9040 11752 14690 23504 29380 58687 58760 117374 117520 234748 293435 469496 586870 762931 938992 1173740 1525862 2347480 3051724 3814655 4694960 6103448 6631631 7629310 12206896 13263262 15258620 26526524 30517240 33158155 53053048 61034480 66316310 86211203 106106096 132632620 172422406 265265240 344844812 431056015 530530480 689689624 862112030 1379379248 1724224060 3448448120 6896896240