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10906038 = 232111319223
BaseRepresentation
bin101001100110…
…100110110110
3202112002021100
4221212212312
510242443123
61025430530
7161462013
oct51464666
922462240
1010906038
116179960
12379b446
13234b0a0
14163c70a
15e56643
hexa669b6

10906038 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 2877120.

The previous prime is 10906003. The next prime is 10906043. The reversal of 10906038 is 83060901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48795 + ... + 49017.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 210906038 is an apocalyptic number.

10906038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10906038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

10906038 is an abundant number, since it is smaller than the sum of its proper divisors (18446922).

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

10906038 is a wasteful number, since it uses less digits than its factorization.

10906038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10906038 is about 3302.4291059764. The cubic root of 10906038 is about 221.7629561380.

Adding to 10906038 its reverse (83060901), we get a palindrome (93966939).

The spelling of 10906038 in words is "ten million, nine hundred six thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 223 234 247 286 342 418 429 446 494 627 669 741 858 1254 1287 1338 1482 1881 2007 2223 2453 2574 2717 2899 3762 4014 4237 4446 4906 5434 5798 7359 8151 8474 8697 12711 14718 16302 17394 22077 24453 25422 26091 31889 38133 44154 46607 48906 52182 55081 63778 76266 93214 95667 110162 139821 165243 191334 279642 287001 330486 419463 495729 574002 605891 838926 991458 1211782 1817673 3635346 5453019 10906038