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1138740330 = 235713449929
BaseRepresentation
bin100001111011111…
…1100110001101010
32221100202000001210
41003313330301222
54313004142310
6304555053550
740135063440
oct10367746152
92840660053
101138740330
11534875512
122794412b6
13151bc6060
14ab344b90
1569e89820
hex43dfcc6a

1138740330 has 128 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 239468544.

The previous prime is 1138740307. The next prime is 1138740349. The reversal of 1138740330 is 330478311.

1138740330 = T5981 + T5982 + ... + T6043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1225306 + ... + 1226234.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 21138740330 is an apocalyptic number.

1138740330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138740330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1138740330 is an abundant number, since it is smaller than the sum of its proper divisors (2236043670).

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

1138740330 is a wasteful number, since it uses less digits than its factorization.

1138740330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1138740330 is about 33745.2267735750. The cubic root of 1138740330 is about 1044.2590169996.

The spelling of 1138740330 in words is "one billion, one hundred thirty-eight million, seven hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 449 455 546 898 910 929 1347 1365 1858 2245 2694 2730 2787 3143 4490 4645 5574 5837 6286 6503 6735 9290 9429 11674 12077 13006 13470 13935 15715 17511 18858 19509 24154 27870 29185 31430 32515 35022 36231 39018 40859 47145 58370 60385 65030 72462 81718 84539 87555 94290 97545 120770 122577 169078 175110 181155 195090 204295 245154 253617 362310 408590 417121 422695 507234 612885 834242 845390 1225770 1251363 1268085 2085605 2502726 2536170 2919847 4171210 5422573 5839694 6256815 8759541 10845146 12513630 14599235 16267719 17519082 27112865 29198470 32535438 37958011 43797705 54225730 75916022 81338595 87595410 113874033 162677190 189790055 227748066 379580110 569370165 1138740330