Search a number
-
+
1138895360 = 29531113127
BaseRepresentation
bin100001111100010…
…0010101000000000
32221101000212201122
41003320202220000
54313024122420
6305002251412
740136310431
oct10370425000
92841025648
101138895360
11534970a39
122794b6b68
13151c4b7a5
14ab385488
1569eba725
hex43e22a00

1138895360 has 160 divisors (see below), whose sum is σ = 2866102272. Its totient is φ = 433520640.

The previous prime is 1138895327. The next prime is 1138895369. The reversal of 1138895360 is 635988311.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1138895369) 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, 8967617 + ... + 8967743.

Almost surely, 21138895360 is an apocalyptic number.

1138895360 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 1138895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433051136).

1138895360 is an abundant number, since it is smaller than the sum of its proper divisors (1727206912).

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

1138895360 is a wasteful number, since it uses less digits than its factorization.

1138895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 1138895360 is about 33747.5237610110. The cubic root of 1138895360 is about 1044.3064039016.

The spelling of 1138895360 in words is "one billion, one hundred thirty-eight million, eight hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 113 124 127 128 155 160 226 248 254 256 310 320 452 496 508 512 565 620 635 640 904 992 1016 1130 1240 1270 1280 1808 1984 2032 2260 2480 2540 2560 3503 3616 3937 3968 4064 4520 4960 5080 7006 7232 7874 7936 8128 9040 9920 10160 14012 14351 14464 15748 15872 16256 17515 18080 19685 19840 20320 28024 28702 28928 31496 32512 35030 36160 39370 39680 40640 56048 57404 57856 62992 65024 70060 71755 72320 78740 79360 81280 112096 114808 125984 140120 143510 144640 157480 162560 224192 229616 251968 280240 287020 289280 314960 325120 444881 448384 459232 503936 560480 574040 629920 889762 896768 918464 1007872 1120960 1148080 1259840 1779524 1793536 1836928 2015744 2224405 2241920 2296160 2519680 3559048 3673856 4448810 4483840 4592320 5039360 7118096 7347712 8897620 8967680 9184640 10078720 14236192 17795240 18369280 28472384 35590480 36738560 56944768 71180960 113889536 142361920 227779072 284723840 569447680 1138895360