Search a number
-
+
11874896 = 2411109619
BaseRepresentation
bin101101010011…
…001001010000
3211100022021222
4231103021100
511014444041
61102304212
7202635455
oct55231120
924308258
1011874896
116780870
123b88068
1325ca087
14181182c
15109874b
hexb53250

11874896 has 40 divisors (see below), whose sum is σ = 25370400. Its totient is φ = 5339520.

The previous prime is 11874887. The next prime is 11874911. The reversal of 11874896 is 69847811.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18875 + ... + 19493.

It is an arithmetic number, because the mean of its divisors is an integer number (634260).

Almost surely, 211874896 is an apocalyptic number.

11874896 is a gapful number since it is divisible by the number (16) 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 11874896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685200).

11874896 is an abundant number, since it is smaller than the sum of its proper divisors (13495504).

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

11874896 is a wasteful number, since it uses less digits than its factorization.

11874896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 96768, while the sum is 44.

The square root of 11874896 is about 3445.9970980835. The cubic root of 11874896 is about 228.1444657437.

The spelling of 11874896 in words is "eleven million, eight hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 619 872 1199 1238 1744 2398 2476 4796 4952 6809 9592 9904 13618 19184 27236 54472 67471 108944 134942 269884 539768 742181 1079536 1484362 2968724 5937448 11874896