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10768395 = 3511217349
BaseRepresentation
bin101001000101…
…000000001011
3202021002110110
4221011000023
510224042040
61022445403
7160346511
oct51050013
922232413
1010768395
116095500
123733863
132300541
1416044b1
15e2a980
hexa4500b

10768395 has 48 divisors (see below), whose sum is σ = 20109600. Its totient is φ = 4899840.

The previous prime is 10768319. The next prime is 10768397. The reversal of 10768395 is 59386701.

It is not a de Polignac number, because 10768395 - 211 = 10766347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30681 + ... + 31029.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 210768395 is an apocalyptic number.

10768395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10768395 is a deficient number, since it is larger than the sum of its proper divisors (9341205).

10768395 is a wasteful number, since it uses less digits than its factorization.

10768395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 10768395 is about 3281.5232743346. The cubic root of 10768395 is about 220.8260610714.

The spelling of 10768395 in words is "ten million, seven hundred sixty-eight thousand, three hundred ninety-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 121 165 187 255 349 363 561 605 935 1047 1745 1815 2057 2805 3839 5235 5933 6171 10285 11517 17799 19195 29665 30855 42229 57585 65263 88995 126687 195789 211145 326315 633435 717893 978945 2153679 3589465 10768395