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10971345 = 3572112359
BaseRepresentation
bin101001110110…
…100011010001
3202122101212010
4221312203101
510302040340
61031053133
7162153300
oct51664321
922571763
1010971345
116213a30
1238111a9
132371a28
141658437
15e6ab80
hexa768d1

10971345 has 96 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 4287360.

The previous prime is 10971343. The next prime is 10971347. The reversal of 10971345 is 54317901.

10971345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10971343) and next prime (10971347).

It is not a de Polignac number, because 10971345 - 21 = 10971343 is a prime.

It is a super-2 number, since 2×109713452 = 240740822218050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10971343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185926 + ... + 185984.

It is an arithmetic number, because the mean of its divisors is an integer number (246240).

Almost surely, 210971345 is an apocalyptic number.

10971345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10971345 is an abundant number, since it is smaller than the sum of its proper divisors (12667695).

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

10971345 is a wasteful number, since it uses less digits than its factorization.

10971345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 10971345 is about 3312.3020695583. The cubic root of 10971345 is about 222.2047255206.

It can be divided in two parts, 1097 and 1345, that added together give a palindrome (2442).

The spelling of 10971345 in words is "ten million, nine hundred seventy-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 49 55 59 69 77 105 115 147 161 165 177 231 245 253 295 345 385 413 483 539 649 735 759 805 885 1127 1155 1239 1265 1357 1617 1771 1947 2065 2415 2695 2891 3245 3381 3795 4071 4543 5313 5635 6195 6785 8085 8673 8855 9499 9735 12397 13629 14455 14927 16905 20355 22715 26565 28497 31801 37191 43365 44781 47495 61985 66493 68145 74635 95403 104489 142485 159005 185955 199479 223905 313467 332465 477015 522445 731423 997395 1567335 2194269 3657115 10971345