Search a number
-
+
10672984 = 2372191433
BaseRepresentation
bin101000101101…
…101101011000
3202002020120201
4220231231120
510213013414
61020431544
7156501400
oct50555530
922066521
1010672984
11602a853
1236a85b4
132298c9a
1415bb800
15e0c574
hexa2db58

10672984 has 48 divisors (see below), whose sum is σ = 24521400. Its totient is φ = 4330368.

The previous prime is 10672939. The next prime is 10672999. The reversal of 10672984 is 48927601.

10672984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106729842 = 227825174928512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6732 + ... + 8164.

Almost surely, 210672984 is an apocalyptic number.

10672984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10672984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260700).

10672984 is an abundant number, since it is smaller than the sum of its proper divisors (13848416).

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

10672984 is a wasteful number, since it uses less digits than its factorization.

10672984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 10672984 is about 3266.9533207562. The cubic root of 10672984 is about 220.1719317147.

The spelling of 10672984 in words is "ten million, six hundred seventy-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1433 1862 2866 3724 5732 7448 10031 11464 20062 27227 40124 54454 70217 80248 108908 140434 190589 217816 280868 381178 561736 762356 1334123 1524712 2668246 5336492 10672984