Search a number
-
+
10984974 = 23711133159
BaseRepresentation
bin101001111001…
…111000001110
3202200002112220
4221321320032
510303004344
61031240210
7162241110
oct51717016
922602486
1010984974
1162231a0
123819066
132377cb0
14165d3b0
15e6ec19
hexa79e0e

10984974 has 128 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2505600.

The previous prime is 10984973. The next prime is 10984991. The reversal of 10984974 is 47948901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984973) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 186157 + ... + 186215.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 210984974 is an apocalyptic number.

10984974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10984974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10984974 is an abundant number, since it is smaller than the sum of its proper divisors (19980786).

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

10984974 is a wasteful number, since it uses less digits than its factorization.

10984974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 10984974 is about 3314.3587615103. The cubic root of 10984974 is about 222.2966976857.

The spelling of 10984974 in words is "ten million, nine hundred eighty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 59 62 66 77 78 91 93 118 143 154 177 182 186 217 231 273 286 341 354 403 413 429 434 462 546 649 651 682 767 806 826 858 1001 1023 1209 1239 1298 1302 1534 1829 1947 2002 2046 2301 2387 2418 2478 2821 3003 3658 3894 4433 4543 4602 4774 5369 5487 5642 6006 7161 8437 8463 8866 9086 10738 10974 12803 13299 13629 14322 16107 16874 16926 20119 23777 25311 25606 26598 27258 31031 32214 38409 40238 47554 50622 59059 60357 62062 71331 76818 93093 118118 120714 140833 142662 166439 177177 186186 261547 281666 332878 354354 422499 499317 523094 784641 844998 998634 1569282 1830829 3661658 5492487 10984974