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10972395 = 335717683
BaseRepresentation
bin101001110110…
…110011101011
3202122110022000
4221312303223
510302104040
61031102043
7162156330
oct51666353
922573260
1010972395
1162147a5
123811923
132372355
141658987
15e6b130
hexa76ceb

10972395 has 64 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 4713984.

The previous prime is 10972393. The next prime is 10972399. The reversal of 10972395 is 59327901.

It is not a de Polignac number, because 10972395 - 21 = 10972393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10972393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15724 + ... + 16406.

It is an arithmetic number, because the mean of its divisors is an integer number (369360).

Almost surely, 210972395 is an apocalyptic number.

10972395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10972395 is an abundant number, since it is smaller than the sum of its proper divisors (12666645).

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

10972395 is a wasteful number, since it uses less digits than its factorization.

10972395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 10972395 is about 3312.4605658030. The cubic root of 10972395 is about 222.2118139107.

The spelling of 10972395 in words is "ten million, nine hundred seventy-two thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 683 765 945 1071 1785 2049 2295 3213 3415 4781 5355 6147 10245 11611 14343 16065 18441 23905 30735 34833 43029 58055 71715 81277 92205 104499 129087 174165 215145 243831 313497 406385 522495 645435 731493 1219155 1567485 2194479 3657465 10972395