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768316120 = 2351121312211
BaseRepresentation
bin101101110010111…
…001001011011000
31222112201111120121
4231302321023120
53033142103440
6204123403024
725016402455
oct5562711330
91875644517
10768316120
11364770300
12195383474
13c323b630
147407c82c
15476b934a
hex2dcb92d8

768316120 has 96 divisors (see below), whose sum is σ = 2046486960. Its totient is φ = 257875200.

The previous prime is 768316117. The next prime is 768316123. The reversal of 768316120 is 21613867.

It is an interprime number because it is at equal distance from previous prime (768316117) and next prime (768316123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768316123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56815 + ... + 69025.

Almost surely, 2768316120 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 768316120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023243480).

768316120 is an abundant number, since it is smaller than the sum of its proper divisors (1278170840).

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

768316120 is a wasteful number, since it uses less digits than its factorization.

768316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12257 (or 12242 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 768316120 is about 27718.5158332837. The cubic root of 768316120 is about 915.8970250940.

Adding to 768316120 its reverse (21613867), we get a palindrome (789929987).

The spelling of 768316120 in words is "seven hundred sixty-eight million, three hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 4840 5720 6292 7865 12211 12584 15730 24422 31460 48844 61055 62920 97688 122110 134321 158743 244220 268642 317486 488440 537284 634972 671605 793715 1074568 1269944 1343210 1477531 1587430 1746173 2686420 2955062 3174860 3492346 5372840 5910124 6349720 6984692 7387655 8730865 11820248 13969384 14775310 17461730 19207903 29550620 34923460 38415806 59101240 69846920 76831612 96039515 153663224 192079030 384158060 768316120