Search a number
-
+
10974138 = 2372163229
BaseRepresentation
bin101001110111…
…001110111010
3202122112200120
4221313032322
510302133023
61031114110
7162164400
oct51671672
922575616
1010974138
11621603a
123812936
132373096
141659470
15e6b8e3
hexa773ba

10974138 has 48 divisors (see below), whose sum is σ = 25800480. Its totient is φ = 3102624.

The previous prime is 10974133. The next prime is 10974149. The reversal of 10974138 is 83147901.

It is a junction number, because it is equal to n+sod(n) for n = 10974099 and 10974108.

It is not an unprimeable number, because it can be changed into a prime (10974133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47808 + ... + 48036.

It is an arithmetic number, because the mean of its divisors is an integer number (537510).

Almost surely, 210974138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10974138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900240).

10974138 is an abundant number, since it is smaller than the sum of its proper divisors (14826342).

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

10974138 is a wasteful number, since it uses less digits than its factorization.

10974138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10974138 is about 3312.7236528271. The cubic root of 10974138 is about 222.2235796399.

It can be divided in two parts, 1097413 and 8, that added together give a triangular number (1097421 = T1481).

The spelling of 10974138 in words is "ten million, nine hundred seventy-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 163 229 294 326 458 489 687 978 1141 1374 1603 2282 3206 3423 4809 6846 7987 9618 11221 15974 22442 23961 33663 37327 47922 67326 74654 111981 223962 261289 522578 783867 1567734 1829023 3658046 5487069 10974138