Search a number
-
+
11124032240 = 2453722916411
BaseRepresentation
bin10100101110000101…
…10100001011110000
31001201020211101111002
422113002310023300
5140240223012430
65035454341132
7542443466606
oct122702641360
931636741432
1011124032240
114799254082
1221a54ba7a8
1310838339c9
14777559876
154518de845
hex2970b42f0

11124032240 has 80 divisors (see below), whose sum is σ = 26680003680. Its totient is φ = 4310184960.

The previous prime is 11124032237. The next prime is 11124032291. The reversal of 11124032240 is 4223042111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669635 + ... + 686045.

It is an arithmetic number, because the mean of its divisors is an integer number (333500046).

Almost surely, 211124032240 is an apocalyptic number.

11124032240 is a gapful number since it is divisible by the number (10) 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 11124032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340001840).

11124032240 is an abundant number, since it is smaller than the sum of its proper divisors (15555971440).

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

11124032240 is a wasteful number, since it uses less digits than its factorization.

11124032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16690 (or 16684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11124032240 its reverse (4223042111), we get a palindrome (15347074351).

The spelling of 11124032240 in words is "eleven billion, one hundred twenty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 229 296 370 458 592 740 916 1145 1480 1832 2290 2960 3664 4580 8473 9160 16411 16946 18320 32822 33892 42365 65644 67784 82055 84730 131288 135568 164110 169460 262576 328220 338920 607207 656440 677840 1214414 1312880 2428828 3036035 3758119 4857656 6072070 7516238 9715312 12144140 15032476 18790595 24288280 30064952 37581190 48576560 60129904 75162380 139050403 150324760 278100806 300649520 556201612 695252015 1112403224 1390504030 2224806448 2781008060 5562016120 11124032240