Search a number
-
+
1093144416 = 253713125131
BaseRepresentation
bin100000100101000…
…0000111101100000
32211011221111020020
41001022000331200
54214321110131
6300245513440
736042400650
oct10112007540
92734844206
101093144416
11511062641
12266112880
13145620420
14a5276360
1565e7e996
hex41280f60

1093144416 has 96 divisors (see below), whose sum is σ = 3531725568. Its totient is φ = 288299520.

The previous prime is 1093144411. The next prime is 1093144427. The reversal of 1093144416 is 6144413901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093144411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53830 + ... + 71301.

It is an arithmetic number, because the mean of its divisors is an integer number (36788808).

Almost surely, 21093144416 is an apocalyptic number.

1093144416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1093144416 is an abundant number, since it is smaller than the sum of its proper divisors (2438581152).

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

1093144416 is a wasteful number, since it uses less digits than its factorization.

1093144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125164 (or 125156 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1093144416 is about 33062.7345511529. The cubic root of 1093144416 is about 1030.1311348418.

The spelling of 1093144416 in words is "one billion, ninety-three million, one hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 125131 250262 375393 500524 750786 875917 1001048 1501572 1626703 1751834 2002096 2627751 3003144 3253406 3503668 4004192 4880109 5255502 6006288 6506812 7007336 9760218 10511004 11386921 12012576 13013624 14014672 19520436 21022008 22773842 26027248 28029344 34160763 39040872 42044016 45547684 52054496 68321526 78081744 84088032 91095368 136643052 156163488 182190736 273286104 364381472 546572208 1093144416