Search a number
-
+
1096368320 = 26531791399
BaseRepresentation
bin100000101011001…
…0100000011000000
32211102000021121002
41001112110003000
54221132241240
6300442551132
736111656045
oct10126240300
92742007532
101096368320
11512964823
122672084a8
131461ab968
14a58751cc
15663b9d15
hex415940c0

1096368320 has 112 divisors (see below), whose sum is σ = 2731008000. Its totient is φ = 418728960.

The previous prime is 1096368307. The next prime is 1096368337. The reversal of 1096368320 is 238636901.

1096368320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 782981 + ... + 784379.

It is an arithmetic number, because the mean of its divisors is an integer number (24384000).

Almost surely, 21096368320 is an apocalyptic number.

1096368320 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 1096368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365504000).

1096368320 is an abundant number, since it is smaller than the sum of its proper divisors (1634639680).

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

1096368320 is a wasteful number, since it uses less digits than its factorization.

1096368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 1096368320 is about 33111.4530034549. The cubic root of 1096368320 is about 1031.1428292914.

The spelling of 1096368320 in words is "one billion, ninety-six million, three hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 79 80 124 155 158 160 248 310 316 320 395 496 620 632 790 992 1240 1264 1399 1580 1984 2449 2480 2528 2798 3160 4898 4960 5056 5596 6320 6995 9796 9920 11192 12245 12640 13990 19592 22384 24490 25280 27980 39184 43369 44768 48980 55960 78368 86738 89536 97960 110521 111920 156736 173476 195920 216845 221042 223840 346952 391840 433690 442084 447680 552605 693904 783680 867380 884168 1105210 1387808 1734760 1768336 2210420 2775616 3426151 3469520 3536672 4420840 6852302 6939040 7073344 8841680 13704604 13878080 17130755 17683360 27409208 34261510 35366720 54818416 68523020 109636832 137046040 219273664 274092080 548184160 1096368320