Search a number
-
+
13383792 = 243423449
BaseRepresentation
bin110011000011…
…100001110000
3221011222010000
4303003201300
511411240132
61154510000
7221521542
oct63034160
927158100
1013383792
117611494
124595300
132a07b06
141ac5692
15129587c
hexcc3870

13383792 has 100 divisors (see below), whose sum is σ = 40510800. Its totient is φ = 4257792.

The previous prime is 13383787. The next prime is 13383803. The reversal of 13383792 is 29738331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29584 + ... + 30032.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 213383792 is an apocalyptic number.

13383792 is a gapful number since it is divisible by the number (12) 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 13383792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

13383792 is an abundant number, since it is smaller than the sum of its proper divisors (27127008).

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

13383792 is a wasteful number, since it uses less digits than its factorization.

13383792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13383792 is about 3658.3865296056. The cubic root of 13383792 is about 237.4249705749.

The spelling of 13383792 in words is "thirteen million, three hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 449 552 621 648 828 898 1104 1242 1296 1347 1656 1796 1863 2484 2694 3312 3592 3726 4041 4968 5388 7184 7452 8082 9936 10327 10776 12123 14904 16164 20654 21552 24246 29808 30981 32328 36369 41308 48492 61962 64656 72738 82616 92943 96984 123924 145476 165232 185886 193968 247848 278829 290952 371772 495696 557658 581904 743544 836487 1115316 1487088 1672974 2230632 3345948 4461264 6691896 13383792