Search a number
-
+
108379440 = 243251311579
BaseRepresentation
bin1100111010110…
…11110100110000
321112221020122100
412131123310300
5210221120230
614430540400
72454132021
oct635336460
9245836570
10108379440
11561a5094
1230367700
13195b8860
1410572c48
1597ac660
hex675bd30

108379440 has 120 divisors (see below), whose sum is σ = 392006160. Its totient is φ = 26675712.

The previous prime is 108379433. The next prime is 108379451. The reversal of 108379440 is 44973801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1083794402 = 23492206029427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108379395 and 108379404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3571 + ... + 15149.

It is an arithmetic number, because the mean of its divisors is an integer number (3266718).

Almost surely, 2108379440 is an apocalyptic number.

108379440 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 108379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196003080).

108379440 is an abundant number, since it is smaller than the sum of its proper divisors (283626720).

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

108379440 is a wasteful number, since it uses less digits than its factorization.

108379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11611 (or 11602 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 108379440 is about 10410.5446543397. The cubic root of 108379440 is about 476.7773706285. Note that the first 3 decimals are identical.

The spelling of 108379440 in words is "one hundred eight million, three hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 11579 23158 34737 46316 57895 69474 92632 104211 115790 138948 150527 173685 185264 208422 231580 277896 301054 347370 416844 451581 463160 521055 555792 602108 694740 752635 833688 903162 926320 1042110 1204216 1354743 1389480 1505270 1667376 1806324 2084220 2257905 2408432 2709486 2778960 3010540 3612648 4168440 4515810 5418972 6021080 6773715 7225296 8336880 9031620 10837944 12042160 13547430 18063240 21675888 27094860 36126480 54189720 108379440